6769998400 has 315 divisors, whose sum is σ = 19465453195. Its totient is φ = 2317004800.

The previous prime is 6769998397. The next prime is 6769998449. The reversal of 6769998400 is 48999676.

The square root of 6769998400 is 82280.

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 158357056 + 6611641344 = 12584^2 + 81312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 398235192 + ... + 398235208.

Almost surely, 2^6769998400 is an apocalyptic number.

6769998400 is the 82280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6769998400

6769998400 is an abundant number, since it is smaller than the sum of its proper divisors (12695454795).

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

6769998400 is an equidigital number, since it uses as much as digits as its factorization.

6769998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The cubic root of 6769998400 is about 1891.7461350388.

The spelling of 6769998400 in words is "six billion, seven hundred sixty-nine million, nine hundred ninety-eight thousand, four hundred".