5915965440 has 768 divisors, whose sum is σ = 24568427520. Its totient is φ = 1179648000.

The previous prime is 5915965361. The next prime is 5915965441. The reversal of 5915965440 is 445695195.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5915965440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5915965441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96983010 + ... + 96983070.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^5915965440 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 5915965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284213760).

5915965440 is an abundant number, since it is smaller than the sum of its proper divisors (18652462080).

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

5915965440 is a wasteful number, since it uses less digits than its factorization.

5915965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 5915965440 is about 76915.3134297716. The cubic root of 5915965440 is about 1808.5972913666.

The spelling of 5915965440 in words is "five billion, nine hundred fifteen million, nine hundred sixty-five thousand, four hundred forty".