642355200 has 468 divisors, whose sum is σ = 2495535588. Its totient is φ = 157286400.

The previous prime is 642355171. The next prime is 642355229. The reversal of 642355200 is 2553246.

It is an interprime number because it is at equal distance from previous prime (642355171) and next prime (642355229).

It can be written as a sum of positive squares in 6 ways, for example, as 47775744 + 594579456 = 6912^2 + 24384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15667180 + ... + 15667220.

It is an arithmetic number, because the mean of its divisors is an integer number (5332341).

Almost surely, 2^642355200 is an apocalyptic number.

642355200 is a gapful number since it is divisible by the number (60) 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 642355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247767794).

642355200 is an abundant number, since it is smaller than the sum of its proper divisors (1853180388).

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

642355200 is a wasteful number, since it uses less digits than its factorization.

642355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 642355200 is about 25344.7272622926. The cubic root of 642355200 is about 862.8296912245.

The spelling of 642355200 in words is "six hundred forty-two million, three hundred fifty-five thousand, two hundred".