5957724864 has 224 divisors, whose sum is σ = 19486652416. Its totient is φ = 1564323840.

The previous prime is 5957724853. The next prime is 5957724887. The reversal of 5957724864 is 4684277595.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4839129 + ... + 4840359.

It is an arithmetic number, because the mean of its divisors is an integer number (86993984).

Almost surely, 2^5957724864 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 5957724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743326208).

5957724864 is an abundant number, since it is smaller than the sum of its proper divisors (13528927552).

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

5957724864 is a wasteful number, since it uses less digits than its factorization.

5957724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1533 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The square root of 5957724864 is about 77186.2997169835. The cubic root of 5957724864 is about 1812.8428068136.

The spelling of 5957724864 in words is "five billion, nine hundred fifty-seven million, seven hundred twenty-four thousand, eight hundred sixty-four".