5769456000 has 768 divisors, whose sum is σ = 24379729920. Its totient is φ = 1193472000.

The previous prime is 5769455977. The next prime is 5769456023. The reversal of 5769456000 is 6549675.

It is an interprime number because it is at equal distance from previous prime (5769455977) and next prime (5769456023).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 25871889 + ... + 25872111.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^5769456000 is an apocalyptic number.

5769456000 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 5769456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

5769456000 is an abundant number, since it is smaller than the sum of its proper divisors (18610273920).

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

5769456000 is a wasteful number, since it uses less digits than its factorization.

5769456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5769456000 is about 75956.9351672380. The cubic root of 5769456000 is about 1793.5422920310.

The spelling of 5769456000 in words is "five billion, seven hundred sixty-nine million, four hundred fifty-six thousand".