8081767233792 has 864 divisors, whose sum is σ = 29727389712384. Its totient is φ = 2058294067200.

The previous prime is 8081767233737. The next prime is 8081767233833. The reversal of 8081767233792 is 2973327671808.

8081767233792 is a `hidden beast` number, since 8 + 0 + 81 + 76 + 72 + 337 + 92 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399464317 + ... + 399484547.

It is an arithmetic number, because the mean of its divisors is an integer number (34406701056).

Almost surely, 2^{8081767233792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081767233792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863694856192).

8081767233792 is an abundant number, since it is smaller than the sum of its proper divisors (21645622478592).

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

8081767233792 is a wasteful number, since it uses less digits than its factorization.

8081767233792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 8081767233792 in words is "eight trillion, eighty-one billion, seven hundred sixty-seven million, two hundred thirty-three thousand, seven hundred ninety-two".