5842976256 has 480 divisors, whose sum is σ = 19499689440. Its totient is φ = 1725235200.

The previous prime is 5842976239. The next prime is 5842976263. The reversal of 5842976256 is 6526792485.

5842976256 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 9 + 7 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7257600) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95786466 + ... + 95786526.

It is an arithmetic number, because the mean of its divisors is an integer number (40624353).

Almost surely, 2^5842976256 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 5842976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749844720).

5842976256 is an abundant number, since it is smaller than the sum of its proper divisors (13656713184).

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

5842976256 is a wasteful number, since it uses less digits than its factorization.

5842976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5842976256 is about 76439.3632626541. The cubic root of 5842976256 is about 1801.1285367437.

The spelling of 5842976256 in words is "five billion, eight hundred forty-two million, nine hundred seventy-six thousand, two hundred fifty-six".