791412564096 has 512 divisors, whose sum is σ = 2915908761600. Its totient is φ = 205294694400.

The previous prime is 791412563987. The next prime is 791412564109. The reversal of 791412564096 is 690465214197.

791412564096 is a `hidden beast` number, since 7 + 91 + 412 + 56 + 4 + 0 + 96 = 666.

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

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, 282343431 + ... + 282346233.

It is an arithmetic number, because the mean of its divisors is an integer number (5695134300).

Almost surely, 2^791412564096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791412564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457954380800).

791412564096 is an abundant number, since it is smaller than the sum of its proper divisors (2124496197504).

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

791412564096 is a wasteful number, since it uses less digits than its factorization.

791412564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 791412564096 in words is "seven hundred ninety-one billion, four hundred twelve million, five hundred sixty-four thousand, ninety-six".