5904195840 has 576 divisors, whose sum is σ = 22340102400. Its totient is φ = 1473970176.

The previous prime is 5904195823. The next prime is 5904195859. The reversal of 5904195840 is 485914095.

5904195840 is a `hidden beast` number, since 59 + 0 + 4 + 19 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 43096252 + ... + 43096388.

It is an arithmetic number, because the mean of its divisors is an integer number (38784900).

Almost surely, 2^5904195840 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 5904195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170051200).

5904195840 is an abundant number, since it is smaller than the sum of its proper divisors (16435906560).

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

5904195840 is a wasteful number, since it uses less digits than its factorization.

5904195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5904195840 is about 76838.7652165234. The cubic root of 5904195840 is about 1807.3971154055.

The spelling of 5904195840 in words is "five billion, nine hundred four million, one hundred ninety-five thousand, eight hundred forty".