642200624 has 40 divisors (see below), whose sum is σ = 1345038912. Its totient is φ = 295280640.

The previous prime is 642200599. The next prime is 642200651. The reversal of 642200624 is 426002246.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 642200593 and 642200602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50672 + ... + 62064.

Almost surely, 2^642200624 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 642200624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672519456).

642200624 is an abundant number, since it is smaller than the sum of its proper divisors (702838288).

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

642200624 is a wasteful number, since it uses less digits than its factorization.

642200624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11685 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 642200624 is about 25341.6776082405. The cubic root of 642200624 is about 862.7604753857.

The spelling of 642200624 in words is "six hundred forty-two million, two hundred thousand, six hundred twenty-four".