625292640 has 576 divisors, whose sum is σ = 2674788480. Its totient is φ = 129761280.

The previous prime is 625292617. The next prime is 625292677. The reversal of 625292640 is 46292526.

625292640 is a `hidden beast` number, since 6 + 2 + 5 + 2 + 9 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 625292595 and 625292604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7025716 + ... + 7025804.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^625292640 is an apocalyptic number.

625292640 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 625292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

625292640 is an abundant number, since it is smaller than the sum of its proper divisors (2049495840).

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

625292640 is a wasteful number, since it uses less digits than its factorization.

625292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

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

The square root of 625292640 is about 25005.8521150550. The cubic root of 625292640 is about 855.1213944798.

The spelling of 625292640 in words is "six hundred twenty-five million, two hundred ninety-two thousand, six hundred forty".