6961666195638 has 768 divisors, whose sum is σ = 21147933081600. Its totient is φ = 1599718256640.

The previous prime is 6961666195573. The next prime is 6961666195657. The reversal of 6961666195638 is 8365916661696.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7675485981 + ... + 7675486887.

It is an arithmetic number, because the mean of its divisors is an integer number (27536371200).

Almost surely, 2^{6961666195638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961666195638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573966540800).

6961666195638 is an abundant number, since it is smaller than the sum of its proper divisors (14186266885962).

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

6961666195638 is a wasteful number, since it uses less digits than its factorization.

6961666195638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 6961666195638 in words is "six trillion, nine hundred sixty-one billion, six hundred sixty-six million, one hundred ninety-five thousand, six hundred thirty-eight".