642294005990400 has 891 divisors, whose sum is σ = 2365208221353159. Its totient is φ = 166532472668160.

The previous prime is 642294005990333. The next prime is 642294005990401. The reversal of 642294005990400 is 4099500492246.

The square root of 642294005990400 is 25343520.

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

642294005990400 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 9 + 4 + 0 + 0 + 599 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60973359399936 + 581320646590464 = 7808544^2 + 24110592^2 .

It is not an unprimeable number, because it can be changed into a prime (642294005990401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 450100914487 + ... + 450100915913.

Almost surely, 2^{642294005990400} is an apocalyptic number.

642294005990400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

642294005990400 is the 25343520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642294005990400

642294005990400 is an abundant number, since it is smaller than the sum of its proper divisors (1722914215362759).

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

642294005990400 is an equidigital number, since it uses as much as digits as its factorization.

642294005990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 642294005990400 in words is "six hundred forty-two trillion, two hundred ninety-four billion, five million, nine hundred ninety thousand, four hundred".