5801247864 has 224 divisors, whose sum is σ = 17320989600. Its totient is φ = 1816784640.

The previous prime is 5801247857. The next prime is 5801247869. The reversal of 5801247864 is 4687421085.

5801247864 is a `hidden beast` number, since 580 + 1 + 2 + 4 + 7 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801247869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8181942 + ... + 8182650.

Almost surely, 2^5801247864 is an apocalyptic number.

5801247864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5801247864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660494800).

5801247864 is an abundant number, since it is smaller than the sum of its proper divisors (11519741736).

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

5801247864 is a wasteful number, since it uses less digits than its factorization.

5801247864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5801247864 is about 76165.9232465543. The cubic root of 5801247864 is about 1796.8306227463.

The spelling of 5801247864 in words is "five billion, eight hundred one million, two hundred forty-seven thousand, eight hundred sixty-four".