763265716125696 has 1071 divisors, whose sum is σ = 2667074193675423. Its totient is φ = 217693999595520.

The previous prime is 763265716125623. The next prime is 763265716125697. The reversal of 763265716125696 is 696521617562367.

The square root of 763265716125696 is 27627264.

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

763265716125696 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 6 + 57 + 1 + 6 + 1 + 2 + 569 + 6 = 666.

It is a super-3 number, since 3×763265716125696³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (763265716125697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1336717541091 + ... + 1336717541661.

Almost surely, 2^{763265716125696} is an apocalyptic number.

763265716125696 is the 27627264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763265716125696

763265716125696 is an abundant number, since it is smaller than the sum of its proper divisors (1903808477549727).

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

763265716125696 is an frugal number, since it uses more digits than its factorization.

763265716125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 583 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 763265716125696 in words is "seven hundred sixty-three trillion, two hundred sixty-five billion, seven hundred sixteen million, one hundred twenty-five thousand, six hundred ninety-six".