5766797836800 has 2880 divisors, whose sum is σ = 28378249675776. Its totient is φ = 1079466393600.

The previous prime is 5766797836783. The next prime is 5766797836817. The reversal of 5766797836800 is 86387976675.

It is an interprime number because it is at equal distance from previous prime (5766797836783) and next prime (5766797836817).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4958553019 + ... + 4958554181.

Almost surely, 2^{5766797836800} is an apocalyptic number.

5766797836800 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 5766797836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189124837888).

5766797836800 is an abundant number, since it is smaller than the sum of its proper divisors (22611451838976).

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

5766797836800 is a wasteful number, since it uses less digits than its factorization.

5766797836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 5766797836800 in words is "five trillion, seven hundred sixty-six billion, seven hundred ninety-seven million, eight hundred thirty-six thousand, eight hundred".