7182096768000 has 2816 divisors, whose sum is σ = 33505641861120. Its totient is φ = 1473970176000.

The previous prime is 7182096767971. The next prime is 7182096768017. The reversal of 7182096768000 is 8676902817.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36457343902 + ... + 36457344098.

It is an arithmetic number, because the mean of its divisors is an integer number (11898310320).

Almost surely, 2^{7182096768000} is an apocalyptic number.

7182096768000 is a gapful number since it is divisible by the number (70) 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 7182096768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752820930560).

7182096768000 is an abundant number, since it is smaller than the sum of its proper divisors (26323545093120).

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

7182096768000 is a wasteful number, since it uses less digits than its factorization.

7182096768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7182096768000 in words is "seven trillion, one hundred eighty-two billion, ninety-six million, seven hundred sixty-eight thousand".