6981001896 has 64 divisors (see below), whose sum is σ = 19099385280. Its totient is φ = 2108756480.

The previous prime is 6981001871. The next prime is 6981001949.

6981001896 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41980 + ... + 125396.

It is an arithmetic number, because the mean of its divisors is an integer number (298427895).

Almost surely, 2^6981001896 is an apocalyptic number.

6981001896 is a gapful number since it is divisible by the number (66) 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 6981001896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549692640).

6981001896 is an abundant number, since it is smaller than the sum of its proper divisors (12118383384).

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

6981001896 is a wasteful number, since it uses less digits than its factorization.

6981001896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83754 (or 83750 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 6981001896 is about 83552.3901273925. The cubic root of 6981001896 is about 1911.1990402556.

It can be divided in two parts, 698100 and 1896, that added together give a palindrome (699996).

The spelling of 6981001896 in words is "six billion, nine hundred eighty-one million, one thousand, eight hundred ninety-six".