5754776400 has 360 divisors, whose sum is σ = 20686009344. Its totient is φ = 1480550400.

The previous prime is 5754776383. The next prime is 5754776453. The reversal of 5754776400 is 46774575.

5754776400 is a `hidden beast` number, since 575 + 4 + 7 + 76 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 18745047 + ... + 18745353.

Almost surely, 2^5754776400 is an apocalyptic number.

5754776400 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 5754776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343004672).

5754776400 is an abundant number, since it is smaller than the sum of its proper divisors (14931232944).

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

5754776400 is a wasteful number, since it uses less digits than its factorization.

5754776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 5754776400 is about 75860.2425516818. The cubic root of 5754776400 is about 1792.0198582116.

The spelling of 5754776400 in words is "five billion, seven hundred fifty-four million, seven hundred seventy-six thousand, four hundred".