642605200 has 120 divisors (see below), whose sum is σ = 1649537280. Its totient is φ = 240038400.

The previous prime is 642605191. The next prime is 642605221. The reversal of 642605200 is 2506246.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358707 + ... + 360493.

It is an arithmetic number, because the mean of its divisors is an integer number (13746144).

Almost surely, 2^642605200 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 642605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824768640).

642605200 is an abundant number, since it is smaller than the sum of its proper divisors (1006932080).

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

642605200 is a wasteful number, since it uses less digits than its factorization.

642605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 642605200 is about 25349.6587748238. The cubic root of 642605200 is about 862.9416123988.

The spelling of 642605200 in words is "six hundred forty-two million, six hundred five thousand, two hundred".