63715680 has 384 divisors, whose sum is σ = 266112000. Its totient is φ = 14224896.

The previous prime is 63715667. The next prime is 63715733. The reversal of 63715680 is 8651736.

63715680 is a `hidden beast` number, since 637 + 15 + 6 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481739 + ... + 1481781.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^63715680 is an apocalyptic number.

63715680 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 63715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

63715680 is an abundant number, since it is smaller than the sum of its proper divisors (202396320).

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

63715680 is a wasteful number, since it uses less digits than its factorization.

63715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 63715680 is about 7982.2102202335. The cubic root of 63715680 is about 399.4067873484.

The spelling of 63715680 in words is "sixty-three million, seven hundred fifteen thousand, six hundred eighty".