625020768 has 144 divisors (see below), whose sum is σ = 1869600096. Its totient is φ = 197683200.

The previous prime is 625020749. The next prime is 625020829. The reversal of 625020768 is 867020526.

625020768 is a `hidden beast` number, since 625 + 0 + 20 + 7 + 6 + 8 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039668 + ... + 1040268.

It is an arithmetic number, because the mean of its divisors is an integer number (12983334).

Almost surely, 2^625020768 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 625020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934800048).

625020768 is an abundant number, since it is smaller than the sum of its proper divisors (1244579328).

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

625020768 is a wasteful number, since it uses less digits than its factorization.

625020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 625020768 is about 25000.4153565496. The cubic root of 625020768 is about 854.9974433082.

The spelling of 625020768 in words is "six hundred twenty-five million, twenty thousand, seven hundred sixty-eight".