8182653696 has 864 divisors, whose sum is σ = 31427235840. Its totient is φ = 2069286912.

The previous prime is 8182653607. The next prime is 8182653697. The reversal of 8182653696 is 6963562818.

It is a happy number.

8182653696 is a `hidden beast` number, since 8 + 18 + 2 + 6 + 536 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (8182653697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190294251 + ... + 190294293.

Almost surely, 2^8182653696 is an apocalyptic number.

8182653696 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713617920).

8182653696 is an abundant number, since it is smaller than the sum of its proper divisors (23244582144).

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

8182653696 is a wasteful number, since it uses less digits than its factorization.

8182653696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 8182653696 is about 90458.0217338407. The cubic root of 8182653696 is about 2015.1067471315.

The spelling of 8182653696 in words is "eight billion, one hundred eighty-two million, six hundred fifty-three thousand, six hundred ninety-six".