74625673329 has 45 divisors (see below), whose sum is σ = 112834651017. Its totient is φ = 49152191256.

The previous prime is 74625673327. The next prime is 74625673393. The reversal of 74625673329 is 92337652647.

The square root of 74625673329 is 273177.

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

74625673329 is a `hidden beast` number, since 7 + 4 + 625 + 6 + 7 + 3 + 3 + 2 + 9 = 666.

It is not a de Polignac number, because 74625673329 - 2¹ = 74625673327 is a prime.

It is a super-2 number, since 2×74625673329² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74625673327) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 312241192 + ... + 312241430.

Almost surely, 2^74625673329 is an apocalyptic number.

74625673329 is the 273177-th square number.

74625673329 is the 136589-th centered octagonal number.

It is an amenable number.

74625673329 is a deficient number, since it is larger than the sum of its proper divisors (38208977688).

74625673329 is an frugal number, since it uses more digits than its factorization.

74625673329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 369 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 74625673329 in words is "seventy-four billion, six hundred twenty-five million, six hundred seventy-three thousand, three hundred twenty-nine".