63612051148800 has 3120 divisors, whose sum is σ = 296936728737792. Its totient is φ = 13076221132800.

The previous prime is 63612051148777. The next prime is 63612051148859. The reversal of 63612051148800 is 884115021636.

63612051148800 is a `hidden beast` number, since 6 + 3 + 6 + 12 + 0 + 511 + 48 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65782885917 + ... + 65782886883.

Almost surely, 2^{63612051148800} is an apocalyptic number.

63612051148800 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 63612051148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148468364368896).

63612051148800 is an abundant number, since it is smaller than the sum of its proper divisors (233324677588992).

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

63612051148800 is a wasteful number, since it uses less digits than its factorization.

63612051148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 63612051148800 in words is "sixty-three trillion, six hundred twelve billion, fifty-one million, one hundred forty-eight thousand, eight hundred".