642838560 has 192 divisors, whose sum is σ = 2492404992. Its totient is φ = 135622656.

The previous prime is 642838543. The next prime is 642838579. The reversal of 642838560 is 65838246.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 36322 + ... + 51038.

It is an arithmetic number, because the mean of its divisors is an integer number (12981276).

Almost surely, 2^642838560 is an apocalyptic number.

642838560 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 642838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246202496).

642838560 is an abundant number, since it is smaller than the sum of its proper divisors (1849566432).

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

642838560 is a wasteful number, since it uses less digits than its factorization.

642838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 642838560 is about 25354.2611803223. The cubic root of 642838560 is about 863.0460579087.

The spelling of 642838560 in words is "six hundred forty-two million, eight hundred thirty-eight thousand, five hundred sixty".