76115718144 has 416 divisors, whose sum is σ = 236962353600. Its totient is φ = 24413405184.

The previous prime is 76115718143. The next prime is 76115718149. The reversal of 76115718144 is 44181751167.

76115718144 is a `hidden beast` number, since 7 + 61 + 1 + 571 + 8 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76115718144.

It is not an unprimeable number, because it can be changed into a prime (76115718143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259780462 + ... + 259780754.

Almost surely, 2^76115718144 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 76115718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118481176800).

76115718144 is an abundant number, since it is smaller than the sum of its proper divisors (160846635456).

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

76115718144 is an frugal number, since it uses more digits than its factorization.

76115718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 327 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 76115718144 in words is "seventy-six billion, one hundred fifteen million, seven hundred eighteen thousand, one hundred forty-four".