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680383866960 = 24335726428419
BaseRepresentation
bin10011110011010100000…
…10011110100001010000
32102001012010021120222000
421321222002132201100
542121411232220320
61240321455314000
7100104355306200
oct11715202364120
92361163246860
10680383866960
11242604a565a6
12aba4321b900
134c210475625
1424d05dc4400
1512a71db4c90
hex9e6a09e850

680383866960 has 240 divisors, whose sum is σ = 2726164353600. Its totient is φ = 155516288256.

The previous prime is 680383866949. The next prime is 680383866977. The reversal of 680383866960 is 69668383086.

680383866960 is a `hidden beast` number, since 68 + 0 + 383 + 86 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3108370 + ... + 3320049.

It is an arithmetic number, because the mean of its divisors is an integer number (11359018140).

Almost surely, 2680383866960 is an apocalyptic number.

680383866960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680383866960 is an abundant number, since it is smaller than the sum of its proper divisors (2045780486640).

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

680383866960 is a wasteful number, since it uses less digits than its factorization.

680383866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428455 (or 6428436 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 680383866960 in words is "six hundred eighty billion, three hundred eighty-three million, eight hundred sixty-six thousand, nine hundred sixty".