6981649920 has 480 divisors, whose sum is σ = 28059400512. Its totient is φ = 1571291136.

The previous prime is 6981649919. The next prime is 6981649937. The reversal of 6981649920 is 299461896.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11773144 + ... + 11773736.

Almost surely, 2^6981649920 is an apocalyptic number.

6981649920 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 6981649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029700256).

6981649920 is an abundant number, since it is smaller than the sum of its proper divisors (21077750592).

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

6981649920 is a wasteful number, since it uses less digits than its factorization.

6981649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 6981649920 is about 83556.2679875065. The cubic root of 6981649920 is about 1911.2581752501.

The spelling of 6981649920 in words is "six billion, nine hundred eighty-one million, six hundred forty-nine thousand, nine hundred twenty".