5742298400 has 72 divisors (see below), whose sum is σ = 14142665124. Its totient is φ = 2276556800.

The previous prime is 5742298343. The next prime is 5742298411. The reversal of 5742298400 is 48922475.

It can be written as a sum of positive squares in 6 ways, for example, as 818188816 + 4924109584 = 28604^2 + 70172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58640 + ... + 122160.

Almost surely, 2^5742298400 is an apocalyptic number.

5742298400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071332562).

5742298400 is an abundant number, since it is smaller than the sum of its proper divisors (8400366724).

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

5742298400 is a wasteful number, since it uses less digits than its factorization.

5742298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63654 (or 63641 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 5742298400 is about 75777.9545778322. The cubic root of 5742298400 is about 1790.7237172159.

The spelling of 5742298400 in words is "five billion, seven hundred forty-two million, two hundred ninety-eight thousand, four hundred".