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64469623680 = 2734571131521
BaseRepresentation
bin111100000010101100…
…000110001110000000
320011101222222012210000
4330002230012032000
52024013210424210
645341131440000
74441421521350
oct740254061600
9204358865700
1064469623680
1125383470530
12105b28b6000
136105759627
143198332b60
151a24d40ac0
hexf02b06380

64469623680 has 1280 divisors, whose sum is σ = 296871505920. Its totient is φ = 12939264000.

The previous prime is 64469623679. The next prime is 64469623703. The reversal of 64469623680 is 8632696446.

64469623680 is a `hidden beast` number, since 6 + 4 + 4 + 6 + 9 + 623 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123741820 + ... + 123742340.

It is an arithmetic number, because the mean of its divisors is an integer number (231930864).

Almost surely, 264469623680 is an apocalyptic number.

64469623680 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 64469623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148435752960).

64469623680 is an abundant number, since it is smaller than the sum of its proper divisors (232401882240).

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

64469623680 is a wasteful number, since it uses less digits than its factorization.

64469623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 64469623680 in words is "sixty-four billion, four hundred sixty-nine million, six hundred twenty-three thousand, six hundred eighty".