7433838768 has 40 divisors (see below), whose sum is σ = 20214827200. Its totient is φ = 2347527744.

The previous prime is 7433838697. The next prime is 7433838773. The reversal of 7433838768 is 8678383347.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074658 + ... + 4076481.

It is an arithmetic number, because the mean of its divisors is an integer number (505370680).

Almost surely, 2^7433838768 is an apocalyptic number.

It is an amenable number.

7433838768 is an abundant number, since it is smaller than the sum of its proper divisors (12780988432).

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

7433838768 is a wasteful number, since it uses less digits than its factorization.

7433838768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151169 (or 8151163 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 7433838768 is about 86219.7121776685. The cubic root of 7433838768 is about 1951.6609795422.

It can be divided in two parts, 743383 and 8768, that added together give a triangular number (752151 = T₁₂₂₆).

The spelling of 7433838768 in words is "seven billion, four hundred thirty-three million, eight hundred thirty-eight thousand, seven hundred sixty-eight".