76986786218496 has 320 divisors, whose sum is σ = 255763895777280. Its totient is φ = 19992049090560.

The previous prime is 76986786218483. The next prime is 76986786218527. The reversal of 76986786218496 is 69481268768967.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 540076960 + ... + 540219488.

It is an arithmetic number, because the mean of its divisors is an integer number (799262174304).

Almost surely, 2^{76986786218496} 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 76986786218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127881947888640).

76986786218496 is an abundant number, since it is smaller than the sum of its proper divisors (178777109558784).

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

76986786218496 is a wasteful number, since it uses less digits than its factorization.

76986786218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147135 (or 147119 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 87.

The spelling of 76986786218496 in words is "seventy-six trillion, nine hundred eighty-six billion, seven hundred eighty-six million, two hundred eighteen thousand, four hundred ninety-six".