5907968352 has 288 divisors, whose sum is σ = 19879292160. Its totient is φ = 1640770560.

The previous prime is 5907968327. The next prime is 5907968369. The reversal of 5907968352 is 2538697095.

It is a tau number, because it is divible by the number of its divisors (288).

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, 6877299 + ... + 6878157.

It is an arithmetic number, because the mean of its divisors is an integer number (69025320).

Almost surely, 2^5907968352 is an apocalyptic number.

5907968352 is a gapful number since it is divisible by the number (52) 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 5907968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939646080).

5907968352 is an abundant number, since it is smaller than the sum of its proper divisors (13971323808).

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

5907968352 is a wasteful number, since it uses less digits than its factorization.

5907968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5907968352 is about 76863.3095306207. The cubic root of 5907968352 is about 1807.7819815688.

The spelling of 5907968352 in words is "five billion, nine hundred seven million, nine hundred sixty-eight thousand, three hundred fifty-two".