8073686016 has 220 divisors, whose sum is σ = 26304359400. Its totient is φ = 2446295040.

The previous prime is 8073685999. The next prime is 8073686041. The reversal of 8073686016 is 6106863708.

8073686016 is a `hidden beast` number, since 8 + 0 + 7 + 36 + 8 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 907960 + ... + 916808.

It is an arithmetic number, because the mean of its divisors is an integer number (119565270).

Almost surely, 2^8073686016 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 8073686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152179700).

8073686016 is an abundant number, since it is smaller than the sum of its proper divisors (18230673384).

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

8073686016 is a wasteful number, since it uses less digits than its factorization.

8073686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8073686016 is about 89853.6922780583. The cubic root of 8073686016 is about 2006.1217443384.

The spelling of 8073686016 in words is "eight billion, seventy-three million, six hundred eighty-six thousand, sixteen".