642384960 has 224 divisors, whose sum is σ = 2355006720. Its totient is φ = 145317888.

The previous prime is 642384959. The next prime is 642384973. The reversal of 642384960 is 69483246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 732042 + ... + 732918.

Almost surely, 2^642384960 is an apocalyptic number.

642384960 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 642384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177503360).

642384960 is an abundant number, since it is smaller than the sum of its proper divisors (1712621760).

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

642384960 is a wasteful number, since it uses less digits than its factorization.

642384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 642384960 is about 25345.3143598575. The cubic root of 642384960 is about 862.8430158436.

The spelling of 642384960 in words is "six hundred forty-two million, three hundred eighty-four thousand, nine hundred sixty".