5904613440 has 336 divisors, whose sum is σ = 22923276480. Its totient is φ = 1381847040.

The previous prime is 5904613427. The next prime is 5904613441. The reversal of 5904613440 is 443164095.

5904613440 is a `hidden beast` number, since 590 + 4 + 61 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5904613395 and 5904613404.

It is not an unprimeable number, because it can be changed into a prime (5904613441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915507 + ... + 921933.

Almost surely, 2^5904613440 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 5904613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461638240).

5904613440 is an abundant number, since it is smaller than the sum of its proper divisors (17018663040).

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

5904613440 is a wasteful number, since it uses less digits than its factorization.

5904613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5904613440 is about 76841.4825468640. The cubic root of 5904613440 is about 1807.4397264154.

The spelling of 5904613440 in words is "five billion, nine hundred four million, six hundred thirteen thousand, four hundred forty".