64620182025 has 189 divisors, whose sum is σ = 140274501861. Its totient is φ = 29430838080.

The previous prime is 64620182017. The next prime is 64620182051. The reversal of 64620182025 is 52028102646.

It is a happy number.

The square root of 64620182025 is 254205.

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

64620182025 is a `hidden beast` number, since 6 + 4 + 620 + 1 + 8 + 2 + 0 + 25 = 666.

64620182025 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 4 ways, for example, as 24786408969 + 39833773056 = 157437^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 64620182025 - 2³ = 64620182017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 240223591 + ... + 240223859.

Almost surely, 2^64620182025 is an apocalyptic number.

64620182025 is the 254205-th square number.

64620182025 is the 127103-rd centered octagonal number.

It is an amenable number.

64620182025 is an abundant number, since it is smaller than the sum of its proper divisors (75654319836).

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

64620182025 is an frugal number, since it uses more digits than its factorization.

64620182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 64620182025 by its sum of digits (36), we get a square (2326326552900 = 1525230²).

The spelling of 64620182025 in words is "sixty-four billion, six hundred twenty million, one hundred eighty-two thousand, twenty-five".