77842365696 has 216 divisors, whose sum is σ = 239834354760. Its totient is φ = 24195760128.

The previous prime is 77842365661. The next prime is 77842365719. The reversal of 77842365696 is 69656324877.

77842365696 is a `hidden beast` number, since 7 + 78 + 423 + 6 + 56 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33094886400 + 44747479296 = 181920^2 + 211536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4260196 + ... + 4278428.

It is an arithmetic number, because the mean of its divisors is an integer number (1110344235).

Almost surely, 2^77842365696 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 77842365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119917177380).

77842365696 is an abundant number, since it is smaller than the sum of its proper divisors (161991989064).

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

77842365696 is a wasteful number, since it uses less digits than its factorization.

77842365696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381 (or 18364 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 77842365696 in words is "seventy-seven billion, eight hundred forty-two million, three hundred sixty-five thousand, six hundred ninety-six".