76665836048256 has 1920 divisors, whose sum is σ = 284157380707200. Its totient is φ = 19717299044352.

The previous prime is 76665836048213. The next prime is 76665836048267. The reversal of 76665836048256 is 65284063856667.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 389166680350 + ... + 389166680546.

It is an arithmetic number, because the mean of its divisors is an integer number (147998635785).

Almost surely, 2^{76665836048256} 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 76665836048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142078690353600).

76665836048256 is an abundant number, since it is smaller than the sum of its proper divisors (207491544658944).

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

76665836048256 is a wasteful number, since it uses less digits than its factorization.

76665836048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 76665836048256 in words is "seventy-six trillion, six hundred sixty-five billion, eight hundred thirty-six million, forty-eight thousand, two hundred fifty-six".