790970344032960 has 8064 divisors, whose sum is σ = 3762533470445568. Its totient is φ = 150828023808000.

The previous prime is 790970344032937. The next prime is 790970344033061. The reversal of 790970344032960 is 69230443079097.

790970344032960 is a `hidden beast` number, since 7 + 9 + 0 + 9 + 70 + 3 + 440 + 32 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 9529763181079 + ... + 9529763181161.

It is an arithmetic number, because the mean of its divisors is an integer number (466584011712).

Almost surely, 2^{790970344032960} is an apocalyptic number.

790970344032960 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 790970344032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881266735222784).

790970344032960 is an abundant number, since it is smaller than the sum of its proper divisors (2971563126412608).

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

790970344032960 is a wasteful number, since it uses less digits than its factorization.

790970344032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 790970344032960 in words is "seven hundred ninety trillion, nine hundred seventy billion, three hundred forty-four million, thirty-two thousand, nine hundred sixty".