642513600 has 336 divisors, whose sum is σ = 2381097600. Its totient is φ = 168514560.

The previous prime is 642513581. The next prime is 642513601. The reversal of 642513600 is 6315246.

642513600 is a `hidden beast` number, since 6 + 4 + 2 + 51 + 3 + 600 = 666.

642513600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (642513601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4622331 + ... + 4622469.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^642513600 is an apocalyptic number.

642513600 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 642513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190548800).

642513600 is an abundant number, since it is smaller than the sum of its proper divisors (1738584000).

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

642513600 is a wasteful number, since it uses less digits than its factorization.

642513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

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

The square root of 642513600 is about 25347.8519800002. The cubic root of 642513600 is about 862.9006078506.

Adding to 642513600 its reverse (6315246), we get a palindrome (648828846).

The spelling of 642513600 in words is "six hundred forty-two million, five hundred thirteen thousand, six hundred".