5760374400 has 1152 divisors, whose sum is σ = 25232760000. Its totient is φ = 1277337600.

The previous prime is 5760374369. The next prime is 5760374407. The reversal of 5760374400 is 44730675.

5760374400 is a `hidden beast` number, since 5 + 7 + 603 + 7 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5760374407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198633586 + ... + 198633614.

Almost surely, 2^5760374400 is an apocalyptic number.

5760374400 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 5760374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616380000).

5760374400 is an abundant number, since it is smaller than the sum of its proper divisors (19472385600).

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

5760374400 is a wasteful number, since it uses less digits than its factorization.

5760374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5760374400 is about 75897.1303805355. The cubic root of 5760374400 is about 1792.6007366225.

The spelling of 5760374400 in words is "five billion, seven hundred sixty million, three hundred seventy-four thousand, four hundred".