63764108640 has 144 divisors (see below), whose sum is σ = 230394816288. Its totient is φ = 16003534848.

The previous prime is 63764108609. The next prime is 63764108641. The reversal of 63764108640 is 4680146736.

It is a happy number.

63764108640 is a `hidden beast` number, since 637 + 6 + 4 + 1 + 0 + 8 + 6 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63764108641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277892 + ... + 1326851.

It is an arithmetic number, because the mean of its divisors is an integer number (1599964002).

Almost surely, 2^63764108640 is an apocalyptic number.

63764108640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63764108640 is an abundant number, since it is smaller than the sum of its proper divisors (166630707648).

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

63764108640 is a wasteful number, since it uses less digits than its factorization.

63764108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604781 (or 2604770 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 63764108640 in words is "sixty-three billion, seven hundred sixty-four million, one hundred eight thousand, six hundred forty".