756440709696 has 567 divisors, whose sum is σ = 2621877578307. Its totient is φ = 207901693440.

The previous prime is 756440709659. The next prime is 756440709709. The reversal of 756440709696 is 696907044657.

The square root of 756440709696 is 869736.

It is a perfect power (a square), and thus also a powerful number.

756440709696 is a `hidden beast` number, since 7 + 56 + 4 + 407 + 0 + 96 + 96 = 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 80 ways as a sum of consecutive naturals, for example, 4529585005 + ... + 4529585171.

Almost surely, 2^756440709696 is an apocalyptic number.

756440709696 is the 869736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756440709696

756440709696 is an abundant number, since it is smaller than the sum of its proper divisors (1865436868611).

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

756440709696 is a wasteful number, since it uses less digits than its factorization.

756440709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 210 counting only the distinct ones).

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

The spelling of 756440709696 in words is "seven hundred fifty-six billion, four hundred forty million, seven hundred nine thousand, six hundred ninety-six".