7338727997328 has 320 divisors, whose sum is σ = 23679284428800. Its totient is φ = 1906996193280.

The previous prime is 7338727997257. The next prime is 7338727997333. The reversal of 7338727997328 is 8237997278337.

It is a self number, because there is not a number n which added to its sum of digits gives 7338727997328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85180993 + ... + 85267103.

It is an arithmetic number, because the mean of its divisors is an integer number (73997763840).

Almost surely, 2^{7338727997328} is an apocalyptic number.

7338727997328 is a gapful number since it is divisible by the number (78) 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 7338727997328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839642214400).

7338727997328 is an abundant number, since it is smaller than the sum of its proper divisors (16340556431472).

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

7338727997328 is a wasteful number, since it uses less digits than its factorization.

7338727997328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86430 (or 86424 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 75.

The spelling of 7338727997328 in words is "seven trillion, three hundred thirty-eight billion, seven hundred twenty-seven million, nine hundred ninety-seven thousand, three hundred twenty-eight".