76643328384 has 256 divisors, whose sum is σ = 262066560000. Its totient is φ = 21597622272.

The previous prime is 76643328373. The next prime is 76643328431. The reversal of 76643328384 is 48382334667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76643328384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744317 + ... + 1787715.

It is an arithmetic number, because the mean of its divisors is an integer number (1023697500).

Almost surely, 2^76643328384 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 76643328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033280000).

76643328384 is an abundant number, since it is smaller than the sum of its proper divisors (185423231616).

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

76643328384 is a wasteful number, since it uses less digits than its factorization.

76643328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43502 (or 43484 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 76643328384 in words is "seventy-six billion, six hundred forty-three million, three hundred twenty-eight thousand, three hundred eighty-four".