63201600000 has 1920 divisors, whose sum is σ = 306880358400. Its totient is φ = 12441600000.

The previous prime is 63201599977. The next prime is 63201600041. The reversal of 63201600000 is 610236.

It is a happy number.

63201600000 is a `hidden beast` number, since 63 + 2 + 0 + 1 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3326399991 + ... + 3326400009.

It is an arithmetic number, because the mean of its divisors is an integer number (159833520).

Almost surely, 2^63201600000 is an apocalyptic number.

63201600000 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 63201600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153440179200).

63201600000 is an abundant number, since it is smaller than the sum of its proper divisors (243678758400).

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

63201600000 is an equidigital number, since it uses as much as digits as its factorization.

63201600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 63201600000 in words is "sixty-three billion, two hundred one million, six hundred thousand".