63984598272 has 378 divisors, whose sum is σ = 222787005378. Its totient is φ = 18278701056.

The previous prime is 63984598261. The next prime is 63984598277. The reversal of 63984598272 is 27289548936.

63984598272 is a `hidden beast` number, since 6 + 39 + 8 + 4 + 598 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50075698176 + 13908900096 = 223776^2 + 117936^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63984598277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9141078 + ... + 9148074.

Almost surely, 2^63984598272 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 63984598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111393502689).

63984598272 is an abundant number, since it is smaller than the sum of its proper divisors (158802407106).

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

63984598272 is an frugal number, since it uses more digits than its factorization.

63984598272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7009 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 63984598272 in words is "sixty-three billion, nine hundred eighty-four million, five hundred ninety-eight thousand, two hundred seventy-two".