74389835025 has 405 divisors, whose sum is σ = 165554822433. Its totient is φ = 32991235200.

The previous prime is 74389835011. The next prime is 74389835041. The reversal of 74389835025 is 52053898347.

The square root of 74389835025 is 272745.

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

74389835025 is a `hidden beast` number, since 7 + 43 + 8 + 98 + 3 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1022528529 + 73367306496 = 31977^2 + 270864^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 74389835025 - 2⁵ = 74389834993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2565166711 + ... + 2565166739.

Almost surely, 2^74389835025 is an apocalyptic number.

74389835025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74389835025 is the 272745-th square number.

74389835025 is the 136373-rd centered octagonal number.

It is an amenable number.

74389835025 is an abundant number, since it is smaller than the sum of its proper divisors (91164987408).

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

74389835025 is a wasteful number, since it uses less digits than its factorization.

74389835025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 74389835025 in words is "seventy-four billion, three hundred eighty-nine million, eight hundred thirty-five thousand, twenty-five".