5801670720 has 168 divisors, whose sum is σ = 19986781464. Its totient is φ = 1544675328.

The previous prime is 5801670671. The next prime is 5801670727. The reversal of 5801670720 is 270761085.

5801670720 is a `hidden beast` number, since 580 + 1 + 6 + 7 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1311598656 + 4490072064 = 36216^2 + 67008^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5801670727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524612 + ... + 2526908.

Almost surely, 2^5801670720 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 5801670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993390732).

5801670720 is an abundant number, since it is smaller than the sum of its proper divisors (14185110744).

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

5801670720 is a wasteful number, since it uses less digits than its factorization.

5801670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5801670720 is about 76168.6990830223. The cubic root of 5801670720 is about 1796.8742789945.

The spelling of 5801670720 in words is "five billion, eight hundred one million, six hundred seventy thousand, seven hundred twenty".