5915724720768 has 864 divisors, whose sum is σ = 19802943538560. Its totient is φ = 1757269499904.

The previous prime is 5915724720701. The next prime is 5915724720799. The reversal of 5915724720768 is 8670274275195.

5915724720768 is a `hidden beast` number, since 5 + 9 + 157 + 2 + 472 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3245048305 + ... + 3245050127.

It is an arithmetic number, because the mean of its divisors is an integer number (22920073540).

Almost surely, 2^{5915724720768} 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 5915724720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901471769280).

5915724720768 is an abundant number, since it is smaller than the sum of its proper divisors (13887218817792).

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

5915724720768 is a wasteful number, since it uses less digits than its factorization.

5915724720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 5915724720768 in words is "five trillion, nine hundred fifteen billion, seven hundred twenty-four million, seven hundred twenty thousand, seven hundred sixty-eight".