82380661768320 has 64 divisors (see below), whose sum is σ = 262588359392640. Its totient is φ = 21968176471040.

The previous prime is 82380661768271. The next prime is 82380661768373. The reversal of 82380661768320 is 2386716608328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21453295416 + ... + 21453299255.

It is an arithmetic number, because the mean of its divisors is an integer number (4102943115510).

Almost surely, 2^{82380661768320} is an apocalyptic number.

82380661768320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82380661768320 is an abundant number, since it is smaller than the sum of its proper divisors (180207697624320).

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

82380661768320 is a wasteful number, since it uses less digits than its factorization.

82380661768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42906594693 (or 42906594681 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 82380661768320 in words is "eighty-two trillion, three hundred eighty billion, six hundred sixty-one million, seven hundred sixty-eight thousand, three hundred twenty".