6981169680 has 400 divisors, whose sum is σ = 25926912000. Its totient is φ = 1734856704.

The previous prime is 6981169633. The next prime is 6981169687. The reversal of 6981169680 is 869611896.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6981169687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13990071 + ... + 13990569.

It is an arithmetic number, because the mean of its divisors is an integer number (64817280).

Almost surely, 2^6981169680 is an apocalyptic number.

6981169680 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 6981169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456000).

6981169680 is an abundant number, since it is smaller than the sum of its proper divisors (18945742320).

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

6981169680 is a wasteful number, since it uses less digits than its factorization.

6981169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 6981169680 is about 83553.3941859934. The cubic root of 6981169680 is about 1911.2143516228.

The spelling of 6981169680 in words is "six billion, nine hundred eighty-one million, one hundred sixty-nine thousand, six hundred eighty".