5676297984000 has 1728 divisors, whose sum is σ = 24039399646080. Its totient is φ = 1284459724800.

The previous prime is 5676297983947. The next prime is 5676297984001. The reversal of 5676297984000 is 4897926765.

5676297984000 is a `hidden beast` number, since 56 + 7 + 6 + 2 + 97 + 98 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676297984001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15466751817 + ... + 15466752183.

It is an arithmetic number, because the mean of its divisors is an integer number (13911689610).

Almost surely, 2^{5676297984000} is an apocalyptic number.

5676297984000 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 5676297984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019699823040).

5676297984000 is an abundant number, since it is smaller than the sum of its proper divisors (18363101662080).

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

5676297984000 is a wasteful number, since it uses less digits than its factorization.

5676297984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5676297984000 in words is "five trillion, six hundred seventy-six billion, two hundred ninety-seven million, nine hundred eighty-four thousand".