63421358400 has 672 divisors, whose sum is σ = 241125816960. Its totient is φ = 16201728000.

The previous prime is 63421358393. The next prime is 63421358419. The reversal of 63421358400 is 485312436.

63421358400 is a `hidden beast` number, since 6 + 34 + 213 + 5 + 8 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108042907 + ... + 108043493.

It is an arithmetic number, because the mean of its divisors is an integer number (358818180).

Almost surely, 2^63421358400 is an apocalyptic number.

63421358400 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 63421358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120562908480).

63421358400 is an abundant number, since it is smaller than the sum of its proper divisors (177704458560).

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

63421358400 is a wasteful number, since it uses less digits than its factorization.

63421358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 63421 and 358400, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 63421358400 in words is "sixty-three billion, four hundred twenty-one million, three hundred fifty-eight thousand, four hundred".