6984407678976 has 1920 divisors, whose sum is σ = 27792262103760. Its totient is φ = 1733686198272.

The previous prime is 6984407678939. The next prime is 6984407679017. The reversal of 6984407678976 is 6798767044896.

6984407678976 is a `hidden beast` number, since 6 + 9 + 8 + 4 + 407 + 67 + 89 + 76 = 666.

It is a super-2 number, since 2×6984407678976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 6984407678895 and 6984407678904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 410847510520 + ... + 410847510536.

Almost surely, 2^{6984407678976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6984407678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896131051880).

6984407678976 is an abundant number, since it is smaller than the sum of its proper divisors (20807854424784).

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

6984407678976 is an frugal number, since it uses more digits than its factorization.

6984407678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 6984407678976 in words is "six trillion, nine hundred eighty-four billion, four hundred seven million, six hundred seventy-eight thousand, nine hundred seventy-six".