63013712400000 has 1536 divisors, whose sum is σ = 242336489472000. Its totient is φ = 16100467200000.

The previous prime is 63013712399977. The next prime is 63013712400043. The reversal of 63013712400000 is 421731036.

63013712400000 is a `hidden beast` number, since 630 + 1 + 3 + 7 + 1 + 24 + 0 + 0 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 35823599121 + ... + 35823600879.

It is an arithmetic number, because the mean of its divisors is an integer number (157771152000).

Almost surely, 2^{63013712400000} is an apocalyptic number.

63013712400000 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 63013712400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168244736000).

63013712400000 is an abundant number, since it is smaller than the sum of its proper divisors (179322777072000).

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

63013712400000 is a wasteful number, since it uses less digits than its factorization.

63013712400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1907 counting only the distinct ones).

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

The spelling of 63013712400000 in words is "sixty-three trillion, thirteen billion, seven hundred twelve million, four hundred thousand".