625332113280 has 1024 divisors, whose sum is σ = 2649127680000. Its totient is φ = 136385593344.

The previous prime is 625332113261. The next prime is 625332113281. The reversal of 625332113280 is 82311233526.

625332113280 is a `hidden beast` number, since 6 + 2 + 5 + 3 + 321 + 1 + 328 + 0 = 666.

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 (625332113281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 312196759 + ... + 312198761.

It is an arithmetic number, because the mean of its divisors is an integer number (2587038750).

Almost surely, 2^625332113280 is an apocalyptic number.

625332113280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625332113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324563840000).

625332113280 is an abundant number, since it is smaller than the sum of its proper divisors (2023795566720).

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

625332113280 is a wasteful number, since it uses less digits than its factorization.

625332113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 625332113280 in words is "six hundred twenty-five billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred eighty".