5915617664 has 128 divisors (see below), whose sum is σ = 13880160000. Its totient is φ = 2482923520.

The previous prime is 5915617663. The next prime is 5915617699. The reversal of 5915617664 is 4667165195.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5915617663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935987 + ... + 942285.

It is an arithmetic number, because the mean of its divisors is an integer number (108438750).

Almost surely, 2^5915617664 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 5915617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080000).

5915617664 is an abundant number, since it is smaller than the sum of its proper divisors (7964542336).

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

5915617664 is a wasteful number, since it uses less digits than its factorization.

5915617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6364 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 5915617664 is about 76913.0526243758. The cubic root of 5915617664 is about 1808.5618505996.

The spelling of 5915617664 in words is "five billion, nine hundred fifteen million, six hundred seventeen thousand, six hundred sixty-four".