8190900319680 has 168 divisors, whose sum is σ = 30340460072832. Its totient is φ = 2016221607936.

The previous prime is 8190900319607. The next prime is 8190900319687. The reversal of 8190900319680 is 869130090918.

8190900319680 is a `hidden beast` number, since 81 + 90 + 90 + 0 + 319 + 6 + 80 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (8190900319687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109349584 + ... + 109424463.

It is an arithmetic number, because the mean of its divisors is an integer number (180597976624).

Almost surely, 2^{8190900319680} is an apocalyptic number.

8190900319680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8190900319680 is an abundant number, since it is smaller than the sum of its proper divisors (22149559753152).

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

8190900319680 is a wasteful number, since it uses less digits than its factorization.

8190900319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218774083 (or 218774070 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 8190900319680 in words is "eight trillion, one hundred ninety billion, nine hundred million, three hundred nineteen thousand, six hundred eighty".