76631742136000 has 112 divisors (see below), whose sum is σ = 189831546777600. Its totient is φ = 30644130355200.

The previous prime is 76631742135997. The next prime is 76631742136007. The reversal of 76631742136000 is 63124713667.

It is not an unprimeable number, because it can be changed into a prime (76631742136007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27327276 + ... + 30000724.

It is an arithmetic number, because the mean of its divisors is an integer number (1694924524800).

Almost surely, 2^{76631742136000} 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 76631742136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94915773388800).

76631742136000 is an abundant number, since it is smaller than the sum of its proper divisors (113199804641600).

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

76631742136000 is a wasteful number, since it uses less digits than its factorization.

76631742136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677059 (or 2677039 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

Adding to 76631742136000 its reverse (63124713667), we get a palindrome (76694866849667).

The spelling of 76631742136000 in words is "seventy-six trillion, six hundred thirty-one billion, seven hundred forty-two million, one hundred thirty-six thousand".