5801944680 has 256 divisors, whose sum is σ = 22320230400. Its totient is φ = 1313107200.

The previous prime is 5801944669. The next prime is 5801944691. The reversal of 5801944680 is 864491085.

5801944680 is a `hidden beast` number, since 580 + 1 + 9 + 4 + 4 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5801944669) and next prime (5801944691).

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, 774955 + ... + 782405.

It is an arithmetic number, because the mean of its divisors is an integer number (87188400).

Almost surely, 2^5801944680 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 5801944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160115200).

5801944680 is an abundant number, since it is smaller than the sum of its proper divisors (16518285720).

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

5801944680 is a wasteful number, since it uses less digits than its factorization.

5801944680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5801944680 is about 76170.4974383127. The cubic root of 5801944680 is about 1796.9025618779.

The spelling of 5801944680 in words is "five billion, eight hundred one million, nine hundred forty-four thousand, six hundred eighty".