625760640 has 160 divisors (see below), whose sum is σ = 2234889360. Its totient is φ = 166855680.

The previous prime is 625760587. The next prime is 625760647. The reversal of 625760640 is 46067526.

625760640 is a `hidden beast` number, since 6 + 2 + 5 + 7 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 625760595 and 625760604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625760647) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 45805 + ... + 57875.

Almost surely, 2^625760640 is an apocalyptic number.

625760640 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 625760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117444680).

625760640 is an abundant number, since it is smaller than the sum of its proper divisors (1609128720).

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

625760640 is a wasteful number, since it uses less digits than its factorization.

625760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12081 counting only the distinct ones).

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

The square root of 625760640 is about 25015.2081742287. The cubic root of 625760640 is about 855.3346796875.

The spelling of 625760640 in words is "six hundred twenty-five million, seven hundred sixty thousand, six hundred forty".