642650400 has 432 divisors, whose sum is σ = 2661579648. Its totient is φ = 142848000.

The previous prime is 642650389. The next prime is 642650417. The reversal of 642650400 is 4056246.

It is a happy number.

642650400 is a `hidden beast` number, since 6 + 4 + 2 + 650 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066245 + ... + 2066555.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2^642650400 is an apocalyptic number.

642650400 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 642650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330789824).

642650400 is an abundant number, since it is smaller than the sum of its proper divisors (2018929248).

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

642650400 is a wasteful number, since it uses less digits than its factorization.

642650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642650400 is about 25350.5502898852. The cubic root of 642650400 is about 862.9618446484.

The spelling of 642650400 in words is "six hundred forty-two million, six hundred fifty thousand, four hundred".