756574654969 has 27 divisors (see below), whose sum is σ = 887546555343. Its totient is φ = 643049271648.

The previous prime is 756574654951. The next prime is 756574654981. The reversal of 756574654969 is 969456475657.

The square root of 756574654969 is 869813.

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

756574654969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 444415556025 + 312159098944 = 666645^2 + 558712^2 .

It is not a de Polignac number, because 756574654969 - 2²⁵ = 756541100537 is a prime.

It is a super-2 number, since 2×756574654969² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (756574654169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 834150214 + ... + 834151120.

Almost surely, 2^756574654969 is an apocalyptic number.

756574654969 is the 869813-rd square number.

756574654969 is the 434907-th centered octagonal number.

It is an amenable number.

756574654969 is a deficient number, since it is larger than the sum of its proper divisors (130971900374).

756574654969 is an frugal number, since it uses more digits than its factorization.

756574654969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1051 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 73.

The spelling of 756574654969 in words is "seven hundred fifty-six billion, five hundred seventy-four million, six hundred fifty-four thousand, nine hundred sixty-nine".