63153245664 has 72 divisors (see below), whose sum is σ = 179648049672. Its totient is φ = 21044517120.

The previous prime is 63153245657. The next prime is 63153245707. The reversal of 63153245664 is 46654235136.

63153245664 is a `hidden beast` number, since 6 + 3 + 1 + 532 + 4 + 56 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 938919 + ... + 1003929.

It is an arithmetic number, because the mean of its divisors is an integer number (2495111801).

Almost surely, 2^63153245664 is an apocalyptic number.

It is an amenable number.

63153245664 is an abundant number, since it is smaller than the sum of its proper divisors (116494804008).

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

63153245664 is a wasteful number, since it uses less digits than its factorization.

63153245664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68400 (or 68389 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 63153245664 in words is "sixty-three billion, one hundred fifty-three million, two hundred forty-five thousand, six hundred sixty-four".