63113472000 has 768 divisors, whose sum is σ = 244080345600. Its totient is φ = 16057958400.

The previous prime is 63113471983. The next prime is 63113472017. The reversal of 63113472000 is 27431136.

63113472000 is a `hidden beast` number, since 6 + 311 + 347 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63113471983) and next prime (63113472017).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158975802 + ... + 158976198.

It is an arithmetic number, because the mean of its divisors is an integer number (317812950).

Almost surely, 2^63113472000 is an apocalyptic number.

63113472000 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 63113472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122040172800).

63113472000 is an abundant number, since it is smaller than the sum of its proper divisors (180966873600).

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

63113472000 is a wasteful number, since it uses less digits than its factorization.

63113472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 63113472000 in words is "sixty-three billion, one hundred thirteen million, four hundred seventy-two thousand".