5802864480 has 576 divisors, whose sum is σ = 24436339200. Its totient is φ = 1224253440.

The previous prime is 5802864443. The next prime is 5802864481. The reversal of 5802864480 is 844682085.

5802864480 is a `hidden beast` number, since 580 + 2 + 8 + 64 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5802864481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7851951 + ... + 7852689.

It is an arithmetic number, because the mean of its divisors is an integer number (42424200).

Almost surely, 2^5802864480 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 5802864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218169600).

5802864480 is an abundant number, since it is smaller than the sum of its proper divisors (18633474720).

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

5802864480 is a wasteful number, since it uses less digits than its factorization.

5802864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5802864480 is about 76176.5349697661. The cubic root of 5802864480 is about 1796.9975130098.

The spelling of 5802864480 in words is "five billion, eight hundred two million, eight hundred sixty-four thousand, four hundred eighty".