5832842400 has 1080 divisors, whose sum is σ = 27155199456. Its totient is φ = 1204761600.

The previous prime is 5832842377. The next prime is 5832842419. The reversal of 5832842400 is 42482385.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 34927117 + ... + 34927283.

Almost surely, 2^5832842400 is an apocalyptic number.

5832842400 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 5832842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577599728).

5832842400 is an abundant number, since it is smaller than the sum of its proper divisors (21322357056).

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

5832842400 is a wasteful number, since it uses less digits than its factorization.

5832842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5832842400 is about 76373.0476018864. The cubic root of 5832842400 is about 1800.0866624942.

The spelling of 5832842400 in words is "five billion, eight hundred thirty-two million, eight hundred forty-two thousand, four hundred".