63792256320 has 840 divisors, whose sum is σ = 253794856392. Its totient is φ = 15119032320.

The previous prime is 63792256313. The next prime is 63792256379. The reversal of 63792256320 is 2365229736.

63792256320 is a `hidden beast` number, since 6 + 3 + 7 + 9 + 2 + 2 + 5 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11961359424 + 51830896896 = 109368^2 + 227664^2 .

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 119 ways as a sum of consecutive naturals, for example, 323818462 + ... + 323818658.

Almost surely, 2^63792256320 is an apocalyptic number.

63792256320 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 63792256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126897428196).

63792256320 is an abundant number, since it is smaller than the sum of its proper divisors (190002600072).

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

63792256320 is a wasteful number, since it uses less digits than its factorization.

63792256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 63792256320 in words is "sixty-three billion, seven hundred ninety-two million, two hundred fifty-six thousand, three hundred twenty".