642304560 has 40 divisors (see below), whose sum is σ = 1991144880. Its totient is φ = 171281152.

The previous prime is 642304549. The next prime is 642304561. The reversal of 642304560 is 65403246.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (642304561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337895 + ... + 1338374.

It is an arithmetic number, because the mean of its divisors is an integer number (49778622).

Almost surely, 2^642304560 is an apocalyptic number.

642304560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642304560 is an abundant number, since it is smaller than the sum of its proper divisors (1348840320).

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

642304560 is a wasteful number, since it uses less digits than its factorization.

642304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676285 (or 2676279 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 642304560 is about 25343.7282182397. The cubic root of 642304560 is about 862.8070169348.

The spelling of 642304560 in words is "six hundred forty-two million, three hundred four thousand, five hundred sixty".