63408315856032 has 576 divisors, whose sum is σ = 225590889888000. Its totient is φ = 17491927864320.

The previous prime is 63408315856027. The next prime is 63408315856049. The reversal of 63408315856032 is 23065851380436.

63408315856032 is a `hidden beast` number, since 6 + 3 + 40 + 8 + 3 + 1 + 5 + 8 + 560 + 32 = 666.

It is a super-2 number, since 2×63408315856032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 63408315856032.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76937982 + ... + 77757762.

It is an arithmetic number, because the mean of its divisors is an integer number (391650850500).

Almost surely, 2^{63408315856032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63408315856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112795444944000).

63408315856032 is an abundant number, since it is smaller than the sum of its proper divisors (162182574031968).

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

63408315856032 is an equidigital number, since it uses as much as digits as its factorization.

63408315856032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819856 (or 819822 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 63408315856032 in words is "sixty-three trillion, four hundred eight billion, three hundred fifteen million, eight hundred fifty-six thousand, thirty-two".