642916560 has 360 divisors, whose sum is σ = 2390284512. Its totient is φ = 142771200.

The previous prime is 642916559. The next prime is 642916567. The reversal of 642916560 is 65619246.

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 (642916567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4907695 + ... + 4907825.

Almost surely, 2^642916560 is an apocalyptic number.

642916560 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 642916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195142256).

642916560 is an abundant number, since it is smaller than the sum of its proper divisors (1747367952).

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

642916560 is a wasteful number, since it uses less digits than its factorization.

642916560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 642916560 is about 25355.7993366409. The cubic root of 642916560 is about 863.0809629243.

The spelling of 642916560 in words is "six hundred forty-two million, nine hundred sixteen thousand, five hundred sixty".