76931434331136 has 1584 divisors, whose sum is σ = 293115047172480. Its totient is φ = 19194126336000.

The previous prime is 76931434331077. The next prime is 76931434331201. The reversal of 76931434331136 is 63113343413967.

76931434331136 is a `hidden beast` number, since 7 + 6 + 9 + 31 + 43 + 433 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30395666191 + ... + 30395668721.

Almost surely, 2^{76931434331136} 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 76931434331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146557523586240).

76931434331136 is an abundant number, since it is smaller than the sum of its proper divisors (216183612841344).

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

76931434331136 is a wasteful number, since it uses less digits than its factorization.

76931434331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2794 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 76931434331136 in words is "seventy-six trillion, nine hundred thirty-one billion, four hundred thirty-four million, three hundred thirty-one thousand, one hundred thirty-six".