8097612768 has 480 divisors, whose sum is σ = 28400004864. Its totient is φ = 2215600128.

The previous prime is 8097612749. The next prime is 8097612779. The reversal of 8097612768 is 8672167908.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75678571 + ... + 75678677.

Almost surely, 2^8097612768 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 8097612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200002432).

8097612768 is an abundant number, since it is smaller than the sum of its proper divisors (20302392096).

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

8097612768 is a wasteful number, since it uses less digits than its factorization.

8097612768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8097612768 is about 89986.7366226823. The cubic root of 8097612768 is about 2008.1015355820.

The spelling of 8097612768 in words is "eight billion, ninety-seven million, six hundred twelve thousand, seven hundred sixty-eight".