8097742848 has 480 divisors, whose sum is σ = 26423308800. Its totient is φ = 2179989504.

The previous prime is 8097742837. The next prime is 8097742859. The reversal of 8097742848 is 8482477908.

It is an interprime number because it is at equal distance from previous prime (8097742837) and next prime (8097742859).

It is a super-2 number, since 2×8097742848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279232498 + ... + 279232526.

It is an arithmetic number, because the mean of its divisors is an integer number (55048560).

Almost surely, 2^8097742848 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 8097742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211654400).

8097742848 is an abundant number, since it is smaller than the sum of its proper divisors (18325565952).

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

8097742848 is a wasteful number, since it uses less digits than its factorization.

8097742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The square root of 8097742848 is about 89987.4593929621. The cubic root of 8097742848 is about 2008.1122882345.

The spelling of 8097742848 in words is "eight billion, ninety-seven million, seven hundred forty-two thousand, eight hundred forty-eight".