6961734876096 has 2688 divisors, whose sum is σ = 28980437319680. Its totient is φ = 1593350922240.

The previous prime is 6961734876023. The next prime is 6961734876113. The reversal of 6961734876096 is 6906784371696.

6961734876096 is a `hidden beast` number, since 6 + 9 + 6 + 1 + 7 + 3 + 4 + 8 + 7 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 54816809985 + ... + 54816810111.

Almost surely, 2^{6961734876096} is an apocalyptic number.

6961734876096 is a gapful number since it is divisible by the number (66) 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 6961734876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490218659840).

6961734876096 is an abundant number, since it is smaller than the sum of its proper divisors (22018702443584).

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

6961734876096 is a wasteful number, since it uses less digits than its factorization.

6961734876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 6961734876096 in words is "six trillion, nine hundred sixty-one billion, seven hundred thirty-four million, eight hundred seventy-six thousand, ninety-six".