6961657605606 has 512 divisors, whose sum is σ = 19933869312000. Its totient is φ = 1771783372800.

The previous prime is 6961657605571. The next prime is 6961657605761. The reversal of 6961657605606 is 6065067561696.

It is a happy number.

6961657605606 is a `hidden beast` number, since 6 + 9 + 6 + 1 + 6 + 5 + 7 + 60 + 560 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 228108660 + ... + 228139176.

It is an arithmetic number, because the mean of its divisors is an integer number (38933338500).

Almost surely, 2^{6961657605606} is an apocalyptic number.

6961657605606 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961657605606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966934656000).

6961657605606 is an abundant number, since it is smaller than the sum of its proper divisors (12972211706394).

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

6961657605606 is a wasteful number, since it uses less digits than its factorization.

6961657605606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30645 (or 30639 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 6961657605606 in words is "six trillion, nine hundred sixty-one billion, six hundred fifty-seven million, six hundred five thousand, six hundred six".