390625000064 has 32 divisors (see below), whose sum is σ = 838059649140. Its totient is φ = 180288460800.

The previous prime is 390625000057. The next prime is 390625000079. The reversal of 390625000064 is 460000526093.

It can be written as a sum of positive squares in 2 ways, for example, as 390625000000 + 64 = 625000^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 390624999988 and 390625000033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117373637 + ... + 117376964.

Almost surely, 2^390625000064 is an apocalyptic number.

It is an amenable number.

390625000064 is an abundant number, since it is smaller than the sum of its proper divisors (447434649076).

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

390625000064 is a wasteful number, since it uses less digits than its factorization.

390625000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234750628 (or 234750616 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

It can be divided in two parts, 3906250000 and 64, that multiplied together give a square (250000000000 = 500000²).

The spelling of 390625000064 in words is "three hundred ninety billion, six hundred twenty-five million, sixty-four", and thus it is an aban number.