76112106816 has 336 divisors, whose sum is σ = 216965613312. Its totient is φ = 23528448000.

The previous prime is 76112106799. The next prime is 76112106817. The reversal of 76112106816 is 61860121167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76112106817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753585166 + ... + 753585266.

It is an arithmetic number, because the mean of its divisors is an integer number (645730992).

Almost surely, 2^76112106816 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 76112106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108482806656).

76112106816 is an abundant number, since it is smaller than the sum of its proper divisors (140853506496).

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

76112106816 is a wasteful number, since it uses less digits than its factorization.

76112106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 76112106816 in words is "seventy-six billion, one hundred twelve million, one hundred six thousand, eight hundred sixteen".