5802416640 has 320 divisors, whose sum is σ = 20804382720. Its totient is φ = 1532805120.

The previous prime is 5802416639. The next prime is 5802416647. The reversal of 5802416640 is 466142085.

5802416640 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 5802416595 and 5802416604.

It is not an unprimeable number, because it can be changed into a prime (5802416647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8777910 + ... + 8778570.

It is an arithmetic number, because the mean of its divisors is an integer number (65013696).

Almost surely, 2^5802416640 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 5802416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402191360).

5802416640 is an abundant number, since it is smaller than the sum of its proper divisors (15001966080).

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

5802416640 is a wasteful number, since it uses less digits than its factorization.

5802416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5802416640 is about 76173.5954251865. The cubic root of 5802416640 is about 1796.9512836534.

The spelling of 5802416640 in words is "five billion, eight hundred two million, four hundred sixteen thousand, six hundred forty".