76084614144 has 1188 divisors, whose sum is σ = 302054861472. Its totient is φ = 18722119680.

The previous prime is 76084614131. The next prime is 76084614149. The reversal of 76084614144 is 44141648067.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a self number, because there is not a number n which added to its sum of digits gives 76084614144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76084614149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4004453367 + ... + 4004453385.

Almost surely, 2^76084614144 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 76084614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151027430736).

76084614144 is an abundant number, since it is smaller than the sum of its proper divisors (225970247328).

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

76084614144 is a wasteful number, since it uses less digits than its factorization.

76084614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 76084614144 in words is "seventy-six billion, eighty-four million, six hundred fourteen thousand, one hundred forty-four".