63914054400 has 1512 divisors, whose sum is σ = 288108504320. Its totient is φ = 13705666560.

The previous prime is 63914054371. The next prime is 63914054401. The reversal of 63914054400 is 445041936.

63914054400 is a `hidden beast` number, since 63 + 9 + 140 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is not an unprimeable number, because it can be changed into a prime (63914054401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 620524749 + ... + 620524851.

Almost surely, 2^63914054400 is an apocalyptic number.

63914054400 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 63914054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144054252160).

63914054400 is an abundant number, since it is smaller than the sum of its proper divisors (224194449920).

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

63914054400 is a wasteful number, since it uses less digits than its factorization.

63914054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 63914054400 in words is "sixty-three billion, nine hundred fourteen million, fifty-four thousand, four hundred".