642915312400 has 135 divisors (see below), whose sum is σ = 1580019492351. Its totient is φ = 251399435520.

The previous prime is 642915312383. The next prime is 642915312467. The reversal of 642915312400 is 4213519246.

It is a happy number.

The square root of 642915312400 is 801820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 257085505296 + 385829807104 = 507036^2 + 621152^2 .

It is a super-3 number, since 3×642915312400³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 642915312400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 753710374 + ... + 753711226.

Almost surely, 2^642915312400 is an apocalyptic number.

642915312400 is the 801820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642915312400

642915312400 is an abundant number, since it is smaller than the sum of its proper divisors (937104179951).

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

642915312400 is an frugal number, since it uses more digits than its factorization.

642915312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 642915312400 in words is "six hundred forty-two billion, nine hundred fifteen million, three hundred twelve thousand, four hundred".