76664738304 has 480 divisors, whose sum is σ = 288009691200. Its totient is φ = 19910983680.

The previous prime is 76664738303. The next prime is 76664738357. The reversal of 76664738304 is 40383746667.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (76664738303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7445992 + ... + 7456280.

It is an arithmetic number, because the mean of its divisors is an integer number (600020190).

Almost surely, 2^76664738304 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 76664738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144004845600).

76664738304 is an abundant number, since it is smaller than the sum of its proper divisors (211344952896).

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

76664738304 is a wasteful number, since it uses less digits than its factorization.

76664738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 76664738304 in words is "seventy-six billion, six hundred sixty-four million, seven hundred thirty-eight thousand, three hundred four".