63625680 has 120 divisors (see below), whose sum is σ = 224970720. Its totient is φ = 16070400.

The previous prime is 63625643. The next prime is 63625693. The reversal of 63625680 is 8652636.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 11355 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (1874756).

Almost surely, 2^63625680 is an apocalyptic number.

63625680 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 63625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112485360).

63625680 is an abundant number, since it is smaller than the sum of its proper divisors (161345040).

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

63625680 is a wasteful number, since it uses less digits than its factorization.

63625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4680 counting only the distinct ones).

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

The square root of 63625680 is about 7976.5706917196. The cubic root of 63625680 is about 399.2186413572.

The spelling of 63625680 in words is "sixty-three million, six hundred twenty-five thousand, six hundred eighty".