680415092248320 has 576 divisors, whose sum is σ = 2836648954137600. Its totient is φ = 152260718837760.

The previous prime is 680415092248319. The next prime is 680415092248351. The reversal of 680415092248320 is 23842290514086.

680415092248320 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 1 + 50 + 92 + 2 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63896860 + ... + 73781019.

It is an arithmetic number, because the mean of its divisors is an integer number (4924737767600).

Almost surely, 2^{680415092248320} is an apocalyptic number.

680415092248320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680415092248320 is an abundant number, since it is smaller than the sum of its proper divisors (2156233861889280).

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

680415092248320 is a wasteful number, since it uses less digits than its factorization.

680415092248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137677933 (or 137677913 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 680415092248320 in words is "six hundred eighty trillion, four hundred fifteen billion, ninety-two million, two hundred forty-eight thousand, three hundred twenty".