5802128640 has 864 divisors, whose sum is σ = 25958080512. Its totient is φ = 1161216000.

The previous prime is 5802128627. The next prime is 5802128659. The reversal of 5802128640 is 468212085.

5802128640 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 1 + 2 + 8 + 640 = 666.

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 = 5802128595 and 5802128604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498135 + ... + 27498345.

Almost surely, 2^5802128640 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 5802128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979040256).

5802128640 is an abundant number, since it is smaller than the sum of its proper divisors (20155951872).

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

5802128640 is a wasteful number, since it uses less digits than its factorization.

5802128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5802128640 is about 76171.7049828872. The cubic root of 5802128640 is about 1796.9215529071.

The spelling of 5802128640 in words is "five billion, eight hundred two million, one hundred twenty-eight thousand, six hundred forty".