625900726039680 has 2560 divisors, whose sum is σ = 3006820393758720. Its totient is φ = 120280213094400.

The previous prime is 625900726039679. The next prime is 625900726039681. The reversal of 625900726039680 is 86930627009526.

625900726039680 is a `hidden beast` number, since 6 + 2 + 590 + 0 + 7 + 2 + 6 + 0 + 39 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (625900726039679) and next prime (625900726039681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (625900726039681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2485965000 + ... + 2486216760.

It is an arithmetic number, because the mean of its divisors is an integer number (1174539216312).

Almost surely, 2^{625900726039680} is an apocalyptic number.

625900726039680 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 625900726039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503410196879360).

625900726039680 is an abundant number, since it is smaller than the sum of its proper divisors (2380919667719040).

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

625900726039680 is a wasteful number, since it uses less digits than its factorization.

625900726039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251860 (or 251839 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 625900726039680 in words is "six hundred twenty-five trillion, nine hundred billion, seven hundred twenty-six million, thirty-nine thousand, six hundred eighty".