642153600 has 288 divisors, whose sum is σ = 2500889040. Its totient is φ = 155596800.

The previous prime is 642153593. The next prime is 642153647. The reversal of 642153600 is 6351246.

642153600 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 53 + 600 = 666.

642153600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×642153600² = 824722491985920000, which contains 22 as substring.

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, 315787 + ... + 317813.

Almost surely, 2^642153600 is an apocalyptic number.

642153600 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 642153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250444520).

642153600 is an abundant number, since it is smaller than the sum of its proper divisors (1858735440).

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

642153600 is a wasteful number, since it uses less digits than its factorization.

642153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 642153600 is about 25340.7497915906. The cubic root of 642153600 is about 862.7394168372.

The spelling of 642153600 in words is "six hundred forty-two million, one hundred fifty-three thousand, six hundred".