63645064992 has 144 divisors (see below), whose sum is σ = 182191464000. Its totient is φ = 21074729472.

The previous prime is 63645064979. The next prime is 63645065009. The reversal of 63645064992 is 29946054636.

63645064992 is a `hidden beast` number, since 6 + 3 + 6 + 4 + 506 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 40823509 + ... + 40825067.

It is an arithmetic number, because the mean of its divisors is an integer number (1265218500).

Almost surely, 2^63645064992 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 63645064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91095732000).

63645064992 is an abundant number, since it is smaller than the sum of its proper divisors (118546399008).

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

63645064992 is a wasteful number, since it uses less digits than its factorization.

63645064992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 63645064992 in words is "sixty-three billion, six hundred forty-five million, sixty-four thousand, nine hundred ninety-two".