5904480960 has 448 divisors, whose sum is σ = 23964595200. Its totient is φ = 1340596224.

The previous prime is 5904480943. The next prime is 5904480977. The reversal of 5904480960 is 690844095.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5904480943) and next prime (5904480977).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14091631 + ... + 14092049.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^5904480960 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 5904480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982297600).

5904480960 is an abundant number, since it is smaller than the sum of its proper divisors (18060114240).

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

5904480960 is a wasteful number, since it uses less digits than its factorization.

5904480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5904480960 is about 76840.6205076456. The cubic root of 5904480960 is about 1807.4262086574.

The spelling of 5904480960 in words is "five billion, nine hundred four million, four hundred eighty thousand, nine hundred sixty".