63401054572800 has 5184 divisors, whose sum is σ = 301626038697984. Its totient is φ = 12842119987200.

The previous prime is 63401054572777. The next prime is 63401054572837. The reversal of 63401054572800 is 827545010436.

63401054572800 is a `hidden beast` number, since 6 + 34 + 0 + 1 + 0 + 545 + 72 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 246696710272 + ... + 246696710528.

Almost surely, 2^{63401054572800} is an apocalyptic number.

63401054572800 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 63401054572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150813019348992).

63401054572800 is an abundant number, since it is smaller than the sum of its proper divisors (238224984125184).

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

63401054572800 is a wasteful number, since it uses less digits than its factorization.

63401054572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 63401054572800 in words is "sixty-three trillion, four hundred one billion, fifty-four million, five hundred seventy-two thousand, eight hundred".