7328083488768 has 1248 divisors, whose sum is σ = 26636219850240. Its totient is φ = 1966449623040.

The previous prime is 7328083488751. The next prime is 7328083488779. The reversal of 7328083488768 is 8678843808237.

7328083488768 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 0 + 83 + 488 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7328083488696 and 7328083488705.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26078588788 + ... + 26078589068.

It is an arithmetic number, because the mean of its divisors is an integer number (21343124880).

Almost surely, 2^{7328083488768} 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 7328083488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318109925120).

7328083488768 is an abundant number, since it is smaller than the sum of its proper divisors (19308136361472).

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

7328083488768 is a wasteful number, since it uses less digits than its factorization.

7328083488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 7328083488768 in words is "seven trillion, three hundred twenty-eight billion, eighty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".