642902206464 has 384 divisors, whose sum is σ = 2186297568000. Its totient is φ = 182859005952.

The previous prime is 642902206451. The next prime is 642902206477. The reversal of 642902206464 is 464602209246.

It is an interprime number because it is at equal distance from previous prime (642902206451) and next prime (642902206477).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88635862 + ... + 88643114.

It is an arithmetic number, because the mean of its divisors is an integer number (5693483250).

Almost surely, 2^642902206464 is an apocalyptic number.

642902206464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642902206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093148784000).

642902206464 is an abundant number, since it is smaller than the sum of its proper divisors (1543395361536).

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

642902206464 is a wasteful number, since it uses less digits than its factorization.

642902206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 642902206464 in words is "six hundred forty-two billion, nine hundred two million, two hundred six thousand, four hundred sixty-four".