76691091449025 has 243 divisors, whose sum is σ = 146163193572123. Its totient is φ = 38437038086400.

The previous prime is 76691091449017. The next prime is 76691091449081. The reversal of 76691091449025 is 52094419019667.

The square root of 76691091449025 is 8757345.

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

76691091449025 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 109 + 14 + 490 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1363759175601 + 75327332273424 = 1167801^2 + 8679132^2 .

It is not a de Polignac number, because 76691091449025 - 2³ = 76691091449017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 150670120471 + ... + 150670120979.

Almost surely, 2^{76691091449025} is an apocalyptic number.

76691091449025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76691091449025 is the 8757345-th square number.

76691091449025 is the 4378673-rd centered octagonal number.

It is an amenable number.

76691091449025 is a deficient number, since it is larger than the sum of its proper divisors (69472102123098).

76691091449025 is an equidigital number, since it uses as much as digits as its factorization.

76691091449025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 76691091449025 in words is "seventy-six trillion, six hundred ninety-one billion, ninety-one million, four hundred forty-nine thousand, twenty-five".