625104864 has 144 divisors (see below), whose sum is σ = 1940964480. Its totient is φ = 197354880.

The previous prime is 625104859. The next prime is 625104869. The reversal of 625104864 is 468401526.

625104864 is a `hidden beast` number, since 62 + 510 + 4 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (625104859) and next prime (625104869).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625104869) 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 23 ways as a sum of consecutive naturals, for example, 145629 + ... + 149859.

It is an arithmetic number, because the mean of its divisors is an integer number (13478920).

Almost surely, 2^625104864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970482240).

625104864 is an abundant number, since it is smaller than the sum of its proper divisors (1315859616).

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

625104864 is a wasteful number, since it uses less digits than its factorization.

625104864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4255 counting only the distinct ones).

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

The square root of 625104864 is about 25002.0971920357. The cubic root of 625104864 is about 855.0357879757.

The spelling of 625104864 in words is "six hundred twenty-five million, one hundred four thousand, eight hundred sixty-four".