82668015743744 has 144 divisors (see below), whose sum is σ = 169094469075840. Its totient is φ = 40322607882240.

The previous prime is 82668015743723. The next prime is 82668015743813. The reversal of 82668015743744 is 44734751086628.

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 15 ways as a sum of consecutive naturals, for example, 8134208807 + ... + 8134218969.

It is an arithmetic number, because the mean of its divisors is an integer number (1174267146360).

Almost surely, 2^{82668015743744} 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 82668015743744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84547234537920).

82668015743744 is an abundant number, since it is smaller than the sum of its proper divisors (86426453332096).

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

82668015743744 is a wasteful number, since it uses less digits than its factorization.

82668015743744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14292 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 82668015743744 in words is "eighty-two trillion, six hundred sixty-eight billion, fifteen million, seven hundred forty-three thousand, seven hundred forty-four".