63233080934400 has 1080 divisors, whose sum is σ = 245423457455904. Its totient is φ = 15469903872000.

The previous prime is 63233080934399. The next prime is 63233080934407. The reversal of 63233080934400 is 443908033236.

63233080934400 is a `hidden beast` number, since 6 + 3 + 233 + 0 + 8 + 0 + 9 + 3 + 4 + 400 = 666.

63233080934400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63233080934407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8003170450 + ... + 8003178350.

Almost surely, 2^{63233080934400} is an apocalyptic number.

63233080934400 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 63233080934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122711728727952).

63233080934400 is an abundant number, since it is smaller than the sum of its proper divisors (182190376521504).

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

63233080934400 is a wasteful number, since it uses less digits than its factorization.

63233080934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

Adding to 63233080934400 its reverse (443908033236), we get a palindrome (63676988967636).

The spelling of 63233080934400 in words is "sixty-three trillion, two hundred thirty-three billion, eighty million, nine hundred thirty-four thousand, four hundred".