5766446400 has 672 divisors, whose sum is σ = 23027859456. Its totient is φ = 1244160000.

The previous prime is 5766446351. The next prime is 5766446423. The reversal of 5766446400 is 46446675.

It is a happy number.

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, 21278265 + ... + 21278535.

It is an arithmetic number, because the mean of its divisors is an integer number (34267648).

Almost surely, 2^5766446400 is an apocalyptic number.

5766446400 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 5766446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513929728).

5766446400 is an abundant number, since it is smaller than the sum of its proper divisors (17261413056).

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

5766446400 is a wasteful number, since it uses less digits than its factorization.

5766446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 5766446400 is about 75937.1213570807. The cubic root of 5766446400 is about 1793.2303744812.

The spelling of 5766446400 in words is "five billion, seven hundred sixty-six million, four hundred forty-six thousand, four hundred".