7982039116800 has 2640 divisors, whose sum is σ = 35491668641792. Its totient is φ = 1741425868800.

The previous prime is 7982039116787. The next prime is 7982039116811. The reversal of 7982039116800 is 86119302897.

7982039116800 is a `hidden beast` number, since 7 + 98 + 2 + 0 + 391 + 168 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 109343001564 + ... + 109343001636.

Almost surely, 2^{7982039116800} is an apocalyptic number.

7982039116800 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 7982039116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17745834320896).

7982039116800 is an abundant number, since it is smaller than the sum of its proper divisors (27509629524992).

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

7982039116800 is an frugal number, since it uses more digits than its factorization.

7982039116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 7982039116800 in words is "seven trillion, nine hundred eighty-two billion, thirty-nine million, one hundred sixteen thousand, eight hundred".