642300624 has 240 divisors, whose sum is σ = 2258932800. Its totient is φ = 173746944.

The previous prime is 642300601. The next prime is 642300709. The reversal of 642300624 is 426003246.

642300624 is a `hidden beast` number, since 6 + 4 + 2 + 30 + 0 + 624 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401394 + ... + 402990.

It is an arithmetic number, because the mean of its divisors is an integer number (9412220).

Almost surely, 2^642300624 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 642300624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129466400).

642300624 is an abundant number, since it is smaller than the sum of its proper divisors (1616632176).

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

642300624 is a wasteful number, since it uses less digits than its factorization.

642300624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 642300624 is about 25343.6505657729. The cubic root of 642300624 is about 862.8052545230.

The spelling of 642300624 in words is "six hundred forty-two million, three hundred thousand, six hundred twenty-four".