81742963104 has 240 divisors, whose sum is σ = 276063590880. Its totient is φ = 23466723840.

The previous prime is 81742963067. The next prime is 81742963111. The reversal of 81742963104 is 40136924718.

81742963104 is a `hidden beast` number, since 8 + 1 + 7 + 4 + 2 + 9 + 631 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81742963104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 466282 + ... + 617174.

It is an arithmetic number, because the mean of its divisors is an integer number (1150264962).

Almost surely, 2^81742963104 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 81742963104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138031795440).

81742963104 is an abundant number, since it is smaller than the sum of its proper divisors (194320627776).

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

81742963104 is a wasteful number, since it uses less digits than its factorization.

81742963104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150945 (or 150928 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 81742963104 in words is "eighty-one billion, seven hundred forty-two million, nine hundred sixty-three thousand, one hundred four".