793604972160 has 2304 divisors, whose sum is σ = 3826708704000. Its totient is φ = 149347860480.

The previous prime is 793604972141. The next prime is 793604972201. The reversal of 793604972160 is 61279406397.

It is a happy number.

793604972160 is a `hidden beast` number, since 7 + 9 + 3 + 604 + 9 + 7 + 21 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 793604972097 and 793604972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14973678694 + ... + 14973678746.

It is an arithmetic number, because the mean of its divisors is an integer number (1660897875).

Almost surely, 2^793604972160 is an apocalyptic number.

793604972160 is a gapful number since it is divisible by the number (70) 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 793604972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913354352000).

793604972160 is an abundant number, since it is smaller than the sum of its proper divisors (3033103731840).

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

793604972160 is a wasteful number, since it uses less digits than its factorization.

793604972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 793604972160 in words is "seven hundred ninety-three billion, six hundred four million, nine hundred seventy-two thousand, one hundred sixty".