5764046400 has 672 divisors, whose sum is σ = 24566880000. Its totient is φ = 1314109440.

The previous prime is 5764046357. The next prime is 5764046419. The reversal of 5764046400 is 46404675.

5764046400 is a `hidden beast` number, since 5 + 7 + 6 + 4 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14817406 + ... + 14817794.

Almost surely, 2^5764046400 is an apocalyptic number.

5764046400 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 5764046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283440000).

5764046400 is an abundant number, since it is smaller than the sum of its proper divisors (18802833600).

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

5764046400 is a wasteful number, since it uses less digits than its factorization.

5764046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5764046400 is about 75921.3171645487. The cubic root of 5764046400 is about 1792.9815586124.

The spelling of 5764046400 in words is "five billion, seven hundred sixty-four million, forty-six thousand, four hundred".