642692200 has 72 divisors (see below), whose sum is σ = 1547967330. Its totient is φ = 248147200.

The previous prime is 642692177. The next prime is 642692269. The reversal of 642692200 is 2296246.

It can be written as a sum of positive squares in 9 ways, for example, as 150651076 + 492041124 = 12274^2 + 22182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166290 + ... + 170110.

Almost surely, 2^642692200 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 642692200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773983665).

642692200 is an abundant number, since it is smaller than the sum of its proper divisors (905275130).

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

642692200 is a wasteful number, since it uses less digits than its factorization.

642692200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 642692200 is about 25351.3747161766. The cubic root of 642692200 is about 862.9805541589.

The spelling of 642692200 in words is "six hundred forty-two million, six hundred ninety-two thousand, two hundred".