642672382560 has 1536 divisors, whose sum is σ = 2509271654400. Its totient is φ = 136744796160.

The previous prime is 642672382511. The next prime is 642672382631. The reversal of 642672382560 is 65283276246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6625488432 + ... + 6625488528.

It is an arithmetic number, because the mean of its divisors is an integer number (1633640400).

Almost surely, 2^642672382560 is an apocalyptic number.

642672382560 is a gapful number since it is divisible by the number (60) 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 642672382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254635827200).

642672382560 is an abundant number, since it is smaller than the sum of its proper divisors (1866599271840).

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

642672382560 is a wasteful number, since it uses less digits than its factorization.

642672382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 642672382560 in words is "six hundred forty-two billion, six hundred seventy-two million, three hundred eighty-two thousand, five hundred sixty".