63613630080000 has 7920 divisors, whose sum is σ = 334353326186880. Its totient is φ = 11289231360000.

The previous prime is 63613630079959. The next prime is 63613630080023. The reversal of 63613630080000 is 8003631636.

63613630080000 is a `hidden beast` number, since 6 + 3 + 6 + 13 + 630 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1078197119971 + ... + 1078197120029.

It is an arithmetic number, because the mean of its divisors is an integer number (42216329064).

Almost surely, 2^{63613630080000} is an apocalyptic number.

63613630080000 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 63613630080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167176663093440).

63613630080000 is an abundant number, since it is smaller than the sum of its proper divisors (270739696106880).

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

63613630080000 is a wasteful number, since it uses less digits than its factorization.

63613630080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 63613630080000 in words is "sixty-three trillion, six hundred thirteen billion, six hundred thirty million, eighty thousand".