63315233280 has 640 divisors, whose sum is σ = 250123991040. Its totient is φ = 15075901440.

The previous prime is 63315233269. The next prime is 63315233297. The reversal of 63315233280 is 8233251336.

63315233280 is a `hidden beast` number, since 6 + 3 + 315 + 2 + 332 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27854224 + ... + 27856496.

It is an arithmetic number, because the mean of its divisors is an integer number (390818736).

Almost surely, 2^63315233280 is an apocalyptic number.

63315233280 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 63315233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125061995520).

63315233280 is an abundant number, since it is smaller than the sum of its proper divisors (186808757760).

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

63315233280 is a wasteful number, since it uses less digits than its factorization.

63315233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 63315233280 in words is "sixty-three billion, three hundred fifteen million, two hundred thirty-three thousand, two hundred eighty".