642583380208 has 240 divisors, whose sum is σ = 1609751399872. Its totient is φ = 243059097600.

The previous prime is 642583380193. The next prime is 642583380253. The reversal of 642583380208 is 802083385246.

It is a super-2 number, since 2×642583380208² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289320538 + ... + 289322758.

Almost surely, 2^642583380208 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 642583380208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804875699936).

642583380208 is an abundant number, since it is smaller than the sum of its proper divisors (967168019664).

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

642583380208 is a wasteful number, since it uses less digits than its factorization.

642583380208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 642583380208 in words is "six hundred forty-two billion, five hundred eighty-three million, three hundred eighty thousand, two hundred eight".