1625370624 has 312 divisors, whose sum is σ = 5152073472. Its totient is φ = 510935040.

The previous prime is 1625370589. The next prime is 1625370661. The reversal of 1625370624 is 4260735261.

1625370624 is a `hidden beast` number, since 1 + 6 + 25 + 3 + 7 + 0 + 624 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892509 + ... + 22892579.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056).

Almost surely, 2^1625370624 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 1625370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576036736).

1625370624 is an abundant number, since it is smaller than the sum of its proper divisors (3526702848).

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

1625370624 is an frugal number, since it uses more digits than its factorization.

1625370624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1625370624 is about 40315.8855043518. The cubic root of 1625370624 is about 1175.7567176883.

The spelling of 1625370624 in words is "one billion, six hundred twenty-five million, three hundred seventy thousand, six hundred twenty-four".