5996682720 has 960 divisors, whose sum is σ = 26345088000. Its totient is φ = 1280240640.

The previous prime is 5996682719. The next prime is 5996682733. The reversal of 5996682720 is 272866995.

5996682720 is a `hidden beast` number, since 599 + 6 + 6 + 8 + 27 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84460285 + ... + 84460355.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 2^5996682720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5996682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544000).

5996682720 is an abundant number, since it is smaller than the sum of its proper divisors (20348405280).

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

5996682720 is a wasteful number, since it uses less digits than its factorization.

5996682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5996682720 is about 77438.2510133074. The cubic root of 5996682720 is about 1816.7856478853.

The spelling of 5996682720 in words is "five billion, nine hundred ninety-six million, six hundred eighty-two thousand, seven hundred twenty".