63648540072 has 128 divisors (see below), whose sum is σ = 196543872000. Its totient is φ = 18952392960.

The previous prime is 63648540061. The next prime is 63648540169. The reversal of 63648540072 is 27004584636.

63648540072 is a `hidden beast` number, since 6 + 36 + 4 + 8 + 540 + 0 + 72 = 666.

It is a super-2 number, since 2×63648540072² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278547 + ... + 452642.

It is an arithmetic number, because the mean of its divisors is an integer number (1535499000).

Almost surely, 2^63648540072 is an apocalyptic number.

63648540072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

63648540072 is an abundant number, since it is smaller than the sum of its proper divisors (132895331928).

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

63648540072 is a wasteful number, since it uses less digits than its factorization.

63648540072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731248 (or 731238 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 63648540072 in words is "sixty-three billion, six hundred forty-eight million, five hundred forty thousand, seventy-two".