82683068045760 has 1344 divisors, whose sum is σ = 366460199239680. Its totient is φ = 16640596869120.

The previous prime is 82683068045729. The next prime is 82683068045779. The reversal of 82683068045760 is 6754086038628.

82683068045760 is a `hidden beast` number, since 8 + 2 + 68 + 3 + 0 + 68 + 0 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630761025 + ... + 630892095.

It is an arithmetic number, because the mean of its divisors is an integer number (272663838720).

Almost surely, 2^{82683068045760} is an apocalyptic number.

82683068045760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82683068045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183230099619840).

82683068045760 is an abundant number, since it is smaller than the sum of its proper divisors (283777131193920).

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

82683068045760 is a wasteful number, since it uses less digits than its factorization.

82683068045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131226 (or 131213 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 82683068045760 in words is "eighty-two trillion, six hundred eighty-three billion, sixty-eight million, forty-five thousand, seven hundred sixty".