63488880 has 640 divisors, whose sum is σ = 299980800. Its totient is φ = 11943936.

The previous prime is 63488879. The next prime is 63488923. The reversal of 63488880 is 8888436.

63488880 is a `hidden beast` number, since 634 + 8 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341511 + ... + 3341529.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^63488880 is an apocalyptic number.

63488880 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 63488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

63488880 is an abundant number, since it is smaller than the sum of its proper divisors (236491920).

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

63488880 is a wasteful number, since it uses less digits than its factorization.

63488880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 63488880 is about 7967.9909638503. The cubic root of 63488880 is about 398.9323193473.

The spelling of 63488880 in words is "sixty-three million, four hundred eighty-eight thousand, eight hundred eighty".