76445941766688 has 960 divisors, whose sum is σ = 253339518136320. Its totient is φ = 22451762995200.

The previous prime is 76445941766687. The next prime is 76445941766699. The reversal of 76445941766688 is 88666714954467.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (76445941766687) 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 159 ways as a sum of consecutive naturals, for example, 41077882878 + ... + 41077884738.

It is an arithmetic number, because the mean of its divisors is an integer number (263895331392).

Almost surely, 2^{76445941766688} is an apocalyptic number.

76445941766688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76445941766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126669759068160).

76445941766688 is an abundant number, since it is smaller than the sum of its proper divisors (176893576369632).

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

76445941766688 is a wasteful number, since it uses less digits than its factorization.

76445941766688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2366 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 76445941766688 in words is "seventy-six trillion, four hundred forty-five billion, nine hundred forty-one million, seven hundred sixty-six thousand, six hundred eighty-eight".