756426792960 has 672 divisors, whose sum is σ = 2685130186752. Its totient is φ = 196942233600.

The previous prime is 756426792943. The next prime is 756426792983. The reversal of 756426792960 is 69297624657.

756426792960 is a `hidden beast` number, since 7 + 56 + 426 + 79 + 2 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5009448885 + ... + 5009449035.

Almost surely, 2^756426792960 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 756426792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342565093376).

756426792960 is an abundant number, since it is smaller than the sum of its proper divisors (1928703393792).

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

756426792960 is a wasteful number, since it uses less digits than its factorization.

756426792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 756426792960 in words is "seven hundred fifty-six billion, four hundred twenty-six million, seven hundred ninety-two thousand, nine hundred sixty".