7331838768 has 200 divisors, whose sum is σ = 22024431616. Its totient is φ = 2361960000.

The previous prime is 7331838733. The next prime is 7331838791. The reversal of 7331838768 is 8678381337.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9762393 + ... + 9763143.

Almost surely, 2^7331838768 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 7331838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11012215808).

7331838768 is an abundant number, since it is smaller than the sum of its proper divisors (14692592848).

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

7331838768 is an frugal number, since it uses more digits than its factorization.

7331838768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 787 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7331838768 is about 85626.1570315987. The cubic root of 7331838768 is about 1942.6935666740.

The spelling of 7331838768 in words is "seven billion, three hundred thirty-one million, eight hundred thirty-eight thousand, seven hundred sixty-eight".