76648323038800 has 240 divisors, whose sum is σ = 196849856160000. Its totient is φ = 28596693565440.

The previous prime is 76648323038797. The next prime is 76648323038803. The reversal of 76648323038800 is 883032384667.

It is an interprime number because it is at equal distance from previous prime (76648323038797) and next prime (76648323038803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76648323038803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211760376 + ... + 212122024.

It is an arithmetic number, because the mean of its divisors is an integer number (820207734000).

Almost surely, 2^{76648323038800} 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 76648323038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98424928080000).

76648323038800 is an abundant number, since it is smaller than the sum of its proper divisors (120201533121200).

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

76648323038800 is a wasteful number, since it uses less digits than its factorization.

76648323038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362118 (or 362107 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 76648323038800 in words is "seventy-six trillion, six hundred forty-eight billion, three hundred twenty-three million, thirty-eight thousand, eight hundred".