643325394099600 has 675 divisors, whose sum is σ = 2358559775129649. Its totient is φ = 162385519046400.

The previous prime is 643325394099547. The next prime is 643325394099629. The reversal of 643325394099600 is 6990493523346.

The square root of 643325394099600 is 25363860.

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

643325394099600 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 2 + 539 + 4 + 0 + 9 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231597141875856 + 411728252223744 = 15218316^2 + 20291088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 549381207015 + ... + 549381208185.

Almost surely, 2^{643325394099600} is an apocalyptic number.

643325394099600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

643325394099600 is the 25363860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643325394099600

643325394099600 is an abundant number, since it is smaller than the sum of its proper divisors (1715234381030049).

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

643325394099600 is an frugal number, since it uses more digits than its factorization.

643325394099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 63.

The spelling of 643325394099600 in words is "six hundred forty-three trillion, three hundred twenty-five billion, three hundred ninety-four million, ninety-nine thousand, six hundred".