642568000 has 112 divisors (see below), whose sum is σ = 1643286528. Its totient is φ = 248640000.

The previous prime is 642567979. The next prime is 642568009. The reversal of 642568000 is 865246.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642568009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246705 + ... + 249295.

Almost surely, 2^642568000 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 642568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821643264).

642568000 is an abundant number, since it is smaller than the sum of its proper divisors (1000718528).

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

642568000 is a wasteful number, since it uses less digits than its factorization.

642568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 642568000 is about 25348.9250265174. The cubic root of 642568000 is about 862.9249603666.

The spelling of 642568000 in words is "six hundred forty-two million, five hundred sixty-eight thousand".