797125126464 has 280 divisors, whose sum is σ = 2405467567008. Its totient is φ = 260938920960.

The previous prime is 797125126453. The next prime is 797125126487. The reversal of 797125126464 is 464621521797.

797125126464 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 2 + 512 + 64 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 797125126464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248866687 + ... + 248869889.

Almost surely, 2^797125126464 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 797125126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202733783504).

797125126464 is an abundant number, since it is smaller than the sum of its proper divisors (1608342440544).

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

797125126464 is a wasteful number, since it uses less digits than its factorization.

797125126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4056 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 797125126464 in words is "seven hundred ninety-seven billion, one hundred twenty-five million, one hundred twenty-six thousand, four hundred sixty-four".