4792135768 has 64 divisors (see below), whose sum is σ = 11013408000. Its totient is φ = 1908945792.

The previous prime is 4792135757. The next prime is 4792135807. The reversal of 4792135768 is 8675312974.

It is a super-4 number, since 4×4792135768⁴ (a number of 40 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13903 + ... + 98881.

It is an arithmetic number, because the mean of its divisors is an integer number (172084500).

Almost surely, 2^4792135768 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 4792135768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506704000).

4792135768 is an abundant number, since it is smaller than the sum of its proper divisors (6221272232).

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

4792135768 is a wasteful number, since it uses less digits than its factorization.

4792135768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85064 (or 85060 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 4792135768 is about 69225.2538312428. The cubic root of 4792135768 is about 1685.9435839519.

The spelling of 4792135768 in words is "four billion, seven hundred ninety-two million, one hundred thirty-five thousand, seven hundred sixty-eight".