6961368960 has 1024 divisors, whose sum is σ = 32078592000. Its totient is φ = 1385496576.

The previous prime is 6961368937. The next prime is 6961368989. The reversal of 6961368960 is 698631696.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6961368897 and 6961368906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29877004 + ... + 29877236.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^6961368960 is an apocalyptic number.

6961368960 is a gapful number since it is divisible by the number (60) 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 6961368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

6961368960 is an abundant number, since it is smaller than the sum of its proper divisors (25117223040).

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

6961368960 is a wasteful number, since it uses less digits than its factorization.

6961368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6961368960 is about 83434.8186310727. The cubic root of 6961368960 is about 1909.4057122429.

The spelling of 6961368960 in words is "six billion, nine hundred sixty-one million, three hundred sixty-eight thousand, nine hundred sixty".