6961385736 has 192 divisors, whose sum is σ = 20122830000. Its totient is φ = 2170183680.

The previous prime is 6961385731. The next prime is 6961385749. The reversal of 6961385736 is 6375831696.

6961385736 is a `hidden beast` number, since 6 + 9 + 61 + 3 + 8 + 573 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1475020836 + 5486364900 = 38406^2 + 74070^2 .

It is not an unprimeable number, because it can be changed into a prime (6961385731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19946490 + ... + 19946838.

Almost surely, 2^6961385736 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 6961385736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061415000).

6961385736 is an abundant number, since it is smaller than the sum of its proper divisors (13161444264).

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

6961385736 is a wasteful number, since it uses less digits than its factorization.

6961385736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 6961385736 is about 83434.9191645800. The cubic root of 6961385736 is about 1909.4072460487.

The spelling of 6961385736 in words is "six billion, nine hundred sixty-one million, three hundred eighty-five thousand, seven hundred thirty-six".