81682308247680 has 2048 divisors, whose sum is σ = 351749195366400. Its totient is φ = 17517454295040.

The previous prime is 81682308247669. The next prime is 81682308247817. The reversal of 81682308247680 is 8674280328618.

81682308247680 is a `hidden beast` number, since 8 + 1 + 6 + 8 + 2 + 3 + 0 + 82 + 476 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

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 255 ways as a sum of consecutive naturals, for example, 46755756567 + ... + 46755758313.

It is an arithmetic number, because the mean of its divisors is an integer number (171752536800).

Almost surely, 2^{81682308247680} is an apocalyptic number.

81682308247680 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 81682308247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175874597683200).

81682308247680 is an abundant number, since it is smaller than the sum of its proper divisors (270066887118720).

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

81682308247680 is a wasteful number, since it uses less digits than its factorization.

81682308247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 81682308247680 in words is "eighty-one trillion, six hundred eighty-two billion, three hundred eight million, two hundred forty-seven thousand, six hundred eighty".