7726961155680 has 576 divisors, whose sum is σ = 28691683308288. Its totient is φ = 1882292981760.

The previous prime is 7726961155649. The next prime is 7726961155769. The reversal of 7726961155680 is 865511696277.

7726961155680 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 9 + 61 + 1 + 5 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3258944895 + ... + 3258947265.

It is an arithmetic number, because the mean of its divisors is an integer number (49811950188).

Almost surely, 2^{7726961155680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7726961155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345841654144).

7726961155680 is an abundant number, since it is smaller than the sum of its proper divisors (20964722152608).

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

7726961155680 is a wasteful number, since it uses less digits than its factorization.

7726961155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 7726961155680 in words is "seven trillion, seven hundred twenty-six billion, nine hundred sixty-one million, one hundred fifty-five thousand, six hundred eighty".