5766472166400 has 1320 divisors, whose sum is σ = 23412663212400. Its totient is φ = 1390804992000.

The previous prime is 5766472166383. The next prime is 5766472166437. The reversal of 5766472166400 is 46612746675.

5766472166400 is a `hidden beast` number, since 5 + 7 + 6 + 6 + 4 + 72 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5497113076 + ... + 5497114124.

It is an arithmetic number, because the mean of its divisors is an integer number (17736866070).

Almost surely, 2^{5766472166400} is an apocalyptic number.

5766472166400 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 5766472166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706331606200).

5766472166400 is an abundant number, since it is smaller than the sum of its proper divisors (17646191046000).

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

5766472166400 is a wasteful number, since it uses less digits than its factorization.

5766472166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5766472166400 in words is "five trillion, seven hundred sixty-six billion, four hundred seventy-two million, one hundred sixty-six thousand, four hundred".