6842598400 has 297 divisors, whose sum is σ = 19048585717. Its totient is φ = 2435276800.

The previous prime is 6842598397. The next prime is 6842598403. The reversal of 6842598400 is 48952486.

The square root of 6842598400 is 82720.

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

It is an interprime number because it is at equal distance from previous prime (6842598397) and next prime (6842598403).

It can be written as a sum of positive squares in only one way, i.e., 2463335424 + 4379262976 = 49632^2 + 66176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6842598403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145587177 + ... + 145587223.

Almost surely, 2^6842598400 is an apocalyptic number.

6842598400 is the 82720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6842598400

6842598400 is an abundant number, since it is smaller than the sum of its proper divisors (12205987317).

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

6842598400 is a wasteful number, since it uses less digits than its factorization.

6842598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The cubic root of 6842598400 is about 1898.4843314081.

The spelling of 6842598400 in words is "six billion, eight hundred forty-two million, five hundred ninety-eight thousand, four hundred".