6709824982080 has 1344 divisors, whose sum is σ = 26904092447232. Its totient is φ = 1518769274880.

The previous prime is 6709824981961. The next prime is 6709824982093. The reversal of 6709824982080 is 802894289076.

6709824982080 is a `hidden beast` number, since 67 + 0 + 9 + 8 + 2 + 498 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×6709824982080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6709824981999 and 6709824982017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11315050264 + ... + 11315050856.

It is an arithmetic number, because the mean of its divisors is an integer number (20017925928).

Almost surely, 2^{6709824982080} is an apocalyptic number.

6709824982080 is a gapful number since it is divisible by the number (60) 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 6709824982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452046223616).

6709824982080 is an abundant number, since it is smaller than the sum of its proper divisors (20194267465152).

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

6709824982080 is a wasteful number, since it uses less digits than its factorization.

6709824982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 6709824982080 in words is "six trillion, seven hundred nine billion, eight hundred twenty-four million, nine hundred eighty-two thousand, eighty".