6961993056 has 72 divisors (see below), whose sum is σ = 19868854824. Its totient is φ = 2312378880.

The previous prime is 6961993043. The next prime is 6961993057. The reversal of 6961993056 is 6503991696.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6961992993 and 6961993011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961993057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37915 + ... + 123941.

It is an arithmetic number, because the mean of its divisors is an integer number (275956317).

Almost surely, 2^6961993056 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 6961993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934427412).

6961993056 is an abundant number, since it is smaller than the sum of its proper divisors (12906861768).

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

6961993056 is a wasteful number, since it uses less digits than its factorization.

6961993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86324 (or 86313 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 6961993056 is about 83438.5585685659. The cubic root of 6961993056 is about 1909.4627707930.

The spelling of 6961993056 in words is "six billion, nine hundred sixty-one million, nine hundred ninety-three thousand, fifty-six".