792216131040 has 72 divisors (see below), whose sum is σ = 2703437552088. Its totient is φ = 211257634560.

The previous prime is 792216130999. The next prime is 792216131051. The reversal of 792216131040 is 40131612297.

792216131040 is a `hidden beast` number, since 7 + 9 + 2 + 21 + 613 + 10 + 4 + 0 = 666.

792216131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 792216130986 and 792216131004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275073606 + ... + 275076485.

It is an arithmetic number, because the mean of its divisors is an integer number (37547743779).

Almost surely, 2^792216131040 is an apocalyptic number.

It is an amenable number.

792216131040 is an abundant number, since it is smaller than the sum of its proper divisors (1911221421048).

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

792216131040 is a wasteful number, since it uses less digits than its factorization.

792216131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550150112 (or 550150101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 792216131040 in words is "seven hundred ninety-two billion, two hundred sixteen million, one hundred thirty-one thousand, forty".