8312183815680 has 1920 divisors, whose sum is σ = 32805675302400. Its totient is φ = 2009734447104.

The previous prime is 8312183815673. The next prime is 8312183815687. The reversal of 8312183815680 is 865183812138.

8312183815680 is a `hidden beast` number, since 8 + 31 + 2 + 18 + 38 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8312183815673) and next prime (8312183815687).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8312183815687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36297745806 + ... + 36297746034.

It is an arithmetic number, because the mean of its divisors is an integer number (17086289220).

Almost surely, 2^{8312183815680} is an apocalyptic number.

8312183815680 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 8312183815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402837651200).

8312183815680 is an abundant number, since it is smaller than the sum of its proper divisors (24493491486720).

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

8312183815680 is a wasteful number, since it uses less digits than its factorization.

8312183815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 8312183815680 in words is "eight trillion, three hundred twelve billion, one hundred eighty-three million, eight hundred fifteen thousand, six hundred eighty".