5749880400 has 720 divisors, whose sum is σ = 23314936320. Its totient is φ = 1298457600.

The previous prime is 5749880371. The next prime is 5749880413. The reversal of 5749880400 is 40889475.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5749880400² = 66122249228608320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53737147 + ... + 53737253.

It is an arithmetic number, because the mean of its divisors is an integer number (32381856).

Almost surely, 2^5749880400 is an apocalyptic number.

5749880400 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 5749880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657468160).

5749880400 is an abundant number, since it is smaller than the sum of its proper divisors (17565055920).

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

5749880400 is a wasteful number, since it uses less digits than its factorization.

5749880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5749880400 is about 75827.9658173685. The cubic root of 5749880400 is about 1791.5115141892.

The spelling of 5749880400 in words is "five billion, seven hundred forty-nine million, eight hundred eighty thousand, four hundred".