6981542172 has 288 divisors, whose sum is σ = 21219932160. Its totient is φ = 1967950080.

The previous prime is 6981542149. The next prime is 6981542179. The reversal of 6981542172 is 2712451896.

6981542172 is a `hidden beast` number, since 6 + 98 + 1 + 542 + 17 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981542179) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31307253 + ... + 31307475.

It is an arithmetic number, because the mean of its divisors is an integer number (73680320).

Almost surely, 2^6981542172 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 6981542172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609966080).

6981542172 is an abundant number, since it is smaller than the sum of its proper divisors (14238389988).

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

6981542172 is a wasteful number, since it uses less digits than its factorization.

6981542172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 6981542172 is about 83555.6232218993. The cubic root of 6981542172 is about 1911.2483430324.

The spelling of 6981542172 in words is "six billion, nine hundred eighty-one million, five hundred forty-two thousand, one hundred seventy-two".