6960948766320 has 640 divisors, whose sum is σ = 23135590656000. Its totient is φ = 1728430735360.

The previous prime is 6960948766309. The next prime is 6960948766327. The reversal of 6960948766320 is 236678490696.

It is a Cunningham number, because it is equal to 2638361²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6960948766327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7492947616 + ... + 7492948544.

It is an arithmetic number, because the mean of its divisors is an integer number (36149360400).

Almost surely, 2^{6960948766320} is an apocalyptic number.

6960948766320 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 6960948766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11567795328000).

6960948766320 is an abundant number, since it is smaller than the sum of its proper divisors (16174641889680).

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

6960948766320 is a wasteful number, since it uses less digits than its factorization.

6960948766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 6960948766320 in words is "six trillion, nine hundred sixty billion, nine hundred forty-eight million, seven hundred sixty-six thousand, three hundred twenty".