63413312400 has 225 divisors, whose sum is σ = 227748082881. Its totient is φ = 16898129280.

The previous prime is 63413312393. The next prime is 63413312401. The reversal of 63413312400 is 421331436.

The square root of 63413312400 is 251820.

It is a perfect power (a square), and thus also a powerful number.

63413312400 is a `hidden beast` number, since 6 + 3 + 413 + 3 + 1 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22828792464 + 40584519936 = 151092^2 + 201456^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (63413312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45326901 + ... + 45328299.

Almost surely, 2^63413312400 is an apocalyptic number.

63413312400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63413312400 is the 251820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63413312400

63413312400 is an abundant number, since it is smaller than the sum of its proper divisors (164334770481).

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

63413312400 is an equidigital number, since it uses as much as digits as its factorization.

63413312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 63413312400 by its product of nonzero digits (5184), we get a square (328734611481600 = 18131040²).

Adding to 63413312400 its reverse (421331436), we get a palindrome (63834643836).

The spelling of 63413312400 in words is "sixty-three billion, four hundred thirteen million, three hundred twelve thousand, four hundred".