642763416564 has 72 divisors (see below), whose sum is σ = 1666924197120. Its totient is φ = 208759041792.

The previous prime is 642763416551. The next prime is 642763416571. The reversal of 642763416564 is 465614367246.

It is a happy number.

642763416564 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 63 + 4 + 16 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642763416564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099012 + ... + 1579035.

It is an arithmetic number, because the mean of its divisors is an integer number (23151724960).

Almost surely, 2^642763416564 is an apocalyptic number.

It is an amenable number.

642763416564 is an abundant number, since it is smaller than the sum of its proper divisors (1024160780556).

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

642763416564 is a wasteful number, since it uses less digits than its factorization.

642763416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678229 (or 2678224 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 642763416564 in words is "six hundred forty-two billion, seven hundred sixty-three million, four hundred sixteen thousand, five hundred sixty-four".