642560880 has 80 divisors (see below), whose sum is σ = 2145175200. Its totient is φ = 158168064.

The previous prime is 642560879. The next prime is 642560881. The reversal of 642560880 is 88065246.

642560880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642560879) and next prime (642560881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642560881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99855 + ... + 106094.

It is an arithmetic number, because the mean of its divisors is an integer number (26814690).

Almost surely, 2^642560880 is an apocalyptic number.

642560880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642560880 is an abundant number, since it is smaller than the sum of its proper divisors (1502614320).

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

642560880 is a wasteful number, since it uses less digits than its factorization.

642560880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205978 (or 205972 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 642560880 is about 25348.7845862479. The cubic root of 642560880 is about 862.9217731302.

The spelling of 642560880 in words is "six hundred forty-two million, five hundred sixty thousand, eight hundred eighty".