63722668032 has 240 divisors, whose sum is σ = 197042388480. Its totient is φ = 20314128384.

The previous prime is 63722668019. The next prime is 63722668033. The reversal of 63722668032 is 23086622736.

63722668032 is a `hidden beast` number, since 637 + 2 + 2 + 6 + 6 + 8 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×63722668032² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63722668033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10171333 + ... + 10177595.

It is an arithmetic number, because the mean of its divisors is an integer number (821009952).

Almost surely, 2^63722668032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63722668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98521194240).

63722668032 is an abundant number, since it is smaller than the sum of its proper divisors (133319720448).

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

63722668032 is an equidigital number, since it uses as much as digits as its factorization.

63722668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 63722668032 in words is "sixty-three billion, seven hundred twenty-two million, six hundred sixty-eight thousand, thirty-two".