791066459520 has 512 divisors, whose sum is σ = 2864089497600. Its totient is φ = 206301634560.

The previous prime is 791066459509. The next prime is 791066459537. The reversal of 791066459520 is 25954660197.

791066459520 is a `hidden beast` number, since 7 + 9 + 1 + 0 + 6 + 64 + 59 + 520 = 666.

It is a super-2 number, since 2×791066459520² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155811222 + ... + 155816298.

It is an arithmetic number, because the mean of its divisors is an integer number (5593924800).

Almost surely, 2^791066459520 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 791066459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432044748800).

791066459520 is an abundant number, since it is smaller than the sum of its proper divisors (2073023038080).

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

791066459520 is a wasteful number, since it uses less digits than its factorization.

791066459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 791066459520 in words is "seven hundred ninety-one billion, sixty-six million, four hundred fifty-nine thousand, five hundred twenty".