5807346048 has 384 divisors, whose sum is σ = 20812896000. Its totient is φ = 1516548096.

The previous prime is 5807346007. The next prime is 5807346053. The reversal of 5807346048 is 8406437085.

5807346048 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 34 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5807345994 and 5807346012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4442611 + ... + 4443917.

It is an arithmetic number, because the mean of its divisors is an integer number (54200250).

Almost surely, 2^5807346048 is an apocalyptic number.

5807346048 is a gapful number since it is divisible by the number (58) 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 5807346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10406448000).

5807346048 is an abundant number, since it is smaller than the sum of its proper divisors (15005549952).

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

5807346048 is a wasteful number, since it uses less digits than its factorization.

5807346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5807346048 is about 76205.9449649435. The cubic root of 5807346048 is about 1797.4600026564.

The spelling of 5807346048 in words is "five billion, eight hundred seven million, three hundred forty-six thousand, forty-eight".