642345984 has 176 divisors, whose sum is σ = 2174732800. Its totient is φ = 183472128.

The previous prime is 642345973. The next prime is 642345989. The reversal of 642345984 is 489543246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642345989) 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, 191877 + ... + 195195.

Almost surely, 2^642345984 is an apocalyptic number.

642345984 is a gapful number since it is divisible by the number (64) 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 642345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087366400).

642345984 is an abundant number, since it is smaller than the sum of its proper divisors (1532386816).

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

642345984 is a wasteful number, since it uses less digits than its factorization.

642345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3331 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 642345984 is about 25344.5454486759. The cubic root of 642345984 is about 862.8255648074.

The spelling of 642345984 in words is "six hundred forty-two million, three hundred forty-five thousand, nine hundred eighty-four".