6982839436680 has 448 divisors, whose sum is σ = 23693151881520. Its totient is φ = 1851310080000.

The previous prime is 6982839436603. The next prime is 6982839436681. The reversal of 6982839436680 is 866349382896.

6982839436680 is a `hidden beast` number, since 6 + 9 + 82 + 8 + 39 + 436 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6875859418596 + 106980018084 = 2622186^2 + 327078^2 .

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 = 6982839436599 and 6982839436608.

It is not an unprimeable number, because it can be changed into a prime (6982839436681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4361547880 + ... + 4361549480.

Almost surely, 2^{6982839436680} is an apocalyptic number.

6982839436680 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 6982839436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846575940760).

6982839436680 is an abundant number, since it is smaller than the sum of its proper divisors (16710312444840).

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

6982839436680 is a wasteful number, since it uses less digits than its factorization.

6982839436680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 6982839436680 in words is "six trillion, nine hundred eighty-two billion, eight hundred thirty-nine million, four hundred thirty-six thousand, six hundred eighty".