6961147216 has 80 divisors (see below), whose sum is σ = 14774054400. Its totient is φ = 3163115520.

The previous prime is 6961147201. The next prime is 6961147229. The reversal of 6961147216 is 6127411696.

It is a congruent number.

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, 6635460 + ... + 6636508.

It is an arithmetic number, because the mean of its divisors is an integer number (184675680).

Almost surely, 2^6961147216 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 6961147216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387027200).

6961147216 is an abundant number, since it is smaller than the sum of its proper divisors (7812907184).

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

6961147216 is a wasteful number, since it uses less digits than its factorization.

6961147216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1886 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 6961147216 is about 83433.4897747901. The cubic root of 6961147216 is about 1909.3854382730.

The spelling of 6961147216 in words is "six billion, nine hundred sixty-one million, one hundred forty-seven thousand, two hundred sixteen".