76684838448 has 80 divisors (see below), whose sum is σ = 202779878400. Its totient is φ = 24958493952.

The previous prime is 76684838401. The next prime is 76684838449. The reversal of 76684838448 is 84483848667.

It is a super-3 number, since 3×76684838448³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76684838449) 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 15 ways as a sum of consecutive naturals, for example, 8972065 + ... + 8980607.

It is an arithmetic number, because the mean of its divisors is an integer number (2534748480).

Almost surely, 2^76684838448 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 76684838448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101389939200).

76684838448 is an abundant number, since it is smaller than the sum of its proper divisors (126095039952).

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

76684838448 is a wasteful number, since it uses less digits than its factorization.

76684838448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 12940 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 66.

The spelling of 76684838448 in words is "seventy-six billion, six hundred eighty-four million, eight hundred thirty-eight thousand, four hundred forty-eight".