6961081881600 has 1584 divisors, whose sum is σ = 32903345943936. Its totient is φ = 1361313792000.

The previous prime is 6961081881599. The next prime is 6961081881601. The reversal of 6961081881600 is 61881801696.

6961081881600 is a `hidden beast` number, since 6 + 9 + 6 + 10 + 8 + 18 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (6961081881599) and next prime (6961081881601).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×6961081881600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961081881601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 301582060 + ... + 301605140.

Almost surely, 2^{6961081881600} is an apocalyptic number.

6961081881600 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 6961081881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451672971968).

6961081881600 is an abundant number, since it is smaller than the sum of its proper divisors (25942264062336).

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

6961081881600 is a wasteful number, since it uses less digits than its factorization.

6961081881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23152 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 6961081881600 in words is "six trillion, nine hundred sixty-one billion, eighty-one million, eight hundred eighty-one thousand, six hundred".