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674977639680 = 28355171071193
BaseRepresentation
bin10011101001001111100…
…11010110110100000000
32101112020100111210100000
421310213303112310000
542024323233432210
61234025213200000
766523401162501
oct11644763266400
92345210453300
10674977639680
1124029030aa73
12aa994790000
134b85b404b86
1424951dbaba8
1512857469ac0
hex9d27cd6d00

674977639680 has 864 divisors, whose sum is σ = 2590443483264. Its totient is φ = 167682244608.

The previous prime is 674977639669. The next prime is 674977639681. The reversal of 674977639680 is 86936779476.

674977639680 is a `hidden beast` number, since 6 + 7 + 4 + 97 + 76 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 674977639599 and 674977639608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674977639681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565781164 + ... + 565782356.

It is an arithmetic number, because the mean of its divisors is an integer number (2998198476).

Almost surely, 2674977639680 is an apocalyptic number.

674977639680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674977639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295221741632).

674977639680 is an abundant number, since it is smaller than the sum of its proper divisors (1915465843584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

674977639680 is a wasteful number, since it uses less digits than its factorization.

674977639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 674977639680 in words is "six hundred seventy-four billion, nine hundred seventy-seven million, six hundred thirty-nine thousand, six hundred eighty".