642495964896 has 384 divisors, whose sum is σ = 2071318677120. Its totient is φ = 192894566400.

The previous prime is 642495964883. The next prime is 642495964951. The reversal of 642495964896 is 698469594246.

642495964896 is a `hidden beast` number, since 6 + 4 + 2 + 495 + 9 + 6 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33141126 + ... + 33160506.

It is an arithmetic number, because the mean of its divisors is an integer number (5394059055).

Almost surely, 2^642495964896 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 642495964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035659338560).

642495964896 is an abundant number, since it is smaller than the sum of its proper divisors (1428822712224).

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

642495964896 is a wasteful number, since it uses less digits than its factorization.

642495964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19515 (or 19501 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 642495964896 in words is "six hundred forty-two billion, four hundred ninety-five million, nine hundred sixty-four thousand, eight hundred ninety-six".