642512304 has 240 divisors, whose sum is σ = 2171289600. Its totient is φ = 181367424.

The previous prime is 642512261. The next prime is 642512323. The reversal of 642512304 is 403215246.

642512304 is a `hidden beast` number, since 6 + 425 + 1 + 230 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2688217 + ... + 2688455.

It is an arithmetic number, because the mean of its divisors is an integer number (9047040).

Almost surely, 2^642512304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642512304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085644800).

642512304 is an abundant number, since it is smaller than the sum of its proper divisors (1528777296).

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

642512304 is a wasteful number, since it uses less digits than its factorization.

642512304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642512304 is about 25347.8264156910. The cubic root of 642512304 is about 862.9000276709.

The spelling of 642512304 in words is "six hundred forty-two million, five hundred twelve thousand, three hundred four".