6982651920384 has 1440 divisors, whose sum is σ = 25215103005120. Its totient is φ = 1926317998080.

The previous prime is 6982651920341. The next prime is 6982651920449. The reversal of 6982651920384 is 4830291562896.

6982651920384 is a `hidden beast` number, since 6 + 9 + 8 + 2 + 65 + 192 + 0 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71986102224 + ... + 71986102320.

It is an arithmetic number, because the mean of its divisors is an integer number (17510488198).

Almost surely, 2^{6982651920384} is an apocalyptic number.

6982651920384 is a gapful number since it is divisible by the number (64) 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 6982651920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607551502560).

6982651920384 is an abundant number, since it is smaller than the sum of its proper divisors (18232451084736).

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

6982651920384 is an frugal number, since it uses more digits than its factorization.

6982651920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6982651920384 in words is "six trillion, nine hundred eighty-two billion, six hundred fifty-one million, nine hundred twenty thousand, three hundred eighty-four".