791259824640 has 320 divisors, whose sum is σ = 2584633430016. Its totient is φ = 206454915072.

The previous prime is 791259824591. The next prime is 791259824699. The reversal of 791259824640 is 46428952197.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×791259824640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71195724 + ... + 71206836.

Almost surely, 2^791259824640 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 791259824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292316715008).

791259824640 is an abundant number, since it is smaller than the sum of its proper divisors (1793373605376).

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

791259824640 is a wasteful number, since it uses less digits than its factorization.

791259824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11339 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 791259824640 in words is "seven hundred ninety-one billion, two hundred fifty-nine million, eight hundred twenty-four thousand, six hundred forty".