5760330400 has 144 divisors (see below), whose sum is σ = 15378890688. Its totient is φ = 2089472000.

The previous prime is 5760330397. The next prime is 5760330403. The reversal of 5760330400 is 40330675.

It is an interprime number because it is at equal distance from previous prime (5760330397) and next prime (5760330403).

It is not an unprimeable number, because it can be changed into a prime (5760330403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6537960 + ... + 6538840.

It is an arithmetic number, because the mean of its divisors is an integer number (106797852).

Almost surely, 2^5760330400 is an apocalyptic number.

5760330400 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 5760330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689445344).

5760330400 is an abundant number, since it is smaller than the sum of its proper divisors (9618560288).

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

5760330400 is a wasteful number, since it uses less digits than its factorization.

5760330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 5760330400 is about 75896.8405139502. The cubic root of 5760330400 is about 1792.5961724150.

The spelling of 5760330400 in words is "five billion, seven hundred sixty million, three hundred thirty thousand, four hundred".