76844384640 has 512 divisors, whose sum is σ = 289341849600. Its totient is φ = 19207913472.

The previous prime is 76844384609. The next prime is 76844384699. The reversal of 76844384640 is 4648344867.

76844384640 is a `hidden beast` number, since 7 + 68 + 443 + 84 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112509739 + ... + 112510421.

It is an arithmetic number, because the mean of its divisors is an integer number (565120800).

Almost surely, 2^76844384640 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 76844384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144670924800).

76844384640 is an abundant number, since it is smaller than the sum of its proper divisors (212497464960).

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

76844384640 is a wasteful number, since it uses less digits than its factorization.

76844384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 76844384640 in words is "seventy-six billion, eight hundred forty-four million, three hundred eighty-four thousand, six hundred forty".