5842368000 has 1200 divisors, whose sum is σ = 26416282464. Its totient is φ = 1277337600.

The previous prime is 5842367959. The next prime is 5842368017. The reversal of 5842368000 is 8632485.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015989 + ... + 254016011.

Almost surely, 2^5842368000 is an apocalyptic number.

5842368000 is a gapful number since it is divisible by the number (50) 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 5842368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208141232).

5842368000 is an abundant number, since it is smaller than the sum of its proper divisors (20573914464).

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

5842368000 is an equidigital number, since it uses as much as digits as its factorization.

5842368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

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

The square root of 5842368000 is about 76435.3844760396. The cubic root of 5842368000 is about 1801.0660351915.

The spelling of 5842368000 in words is "five billion, eight hundred forty-two million, three hundred sixty-eight thousand".