64300280625 has 375 divisors, whose sum is σ = 146377607453. Its totient is φ = 28116396000.

The previous prime is 64300280563. The next prime is 64300280657. The reversal of 64300280625 is 52608200346.

The square root of 64300280625 is 253575.

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

64300280625 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 0 + 28 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5041142001 + 59259138624 = 71001^2 + 243432^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is not a de Polignac number, because 64300280625 - 2⁹ = 64300280113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64300280625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 2795664364 + ... + 2795664386.

Almost surely, 2^64300280625 is an apocalyptic number.

64300280625 is the 253575-th square number.

64300280625 is the 126788-th centered octagonal number.

It is an amenable number.

64300280625 is an abundant number, since it is smaller than the sum of its proper divisors (82077326828).

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

64300280625 is an frugal number, since it uses more digits than its factorization.

64300280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 64300280625 by its sum of digits (36), we get a square (2314810102500 = 1521450²).

The spelling of 64300280625 in words is "sixty-four billion, three hundred million, two hundred eighty thousand, six hundred twenty-five".