8185077864 has 224 divisors, whose sum is σ = 23822853120. Its totient is φ = 2633637888.

The previous prime is 8185077853. The next prime is 8185077869. The reversal of 8185077864 is 4687705818.

It is a happy number.

8185077864 is a `hidden beast` number, since 8 + 1 + 8 + 507 + 78 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8185077864.

It is not an unprimeable number, because it can be changed into a prime (8185077869) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31848424 + ... + 31848680.

Almost surely, 2^8185077864 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 8185077864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911426560).

8185077864 is an abundant number, since it is smaller than the sum of its proper divisors (15637775256).

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

8185077864 is a wasteful number, since it uses less digits than its factorization.

8185077864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 8185077864 is about 90471.4201502331. The cubic root of 8185077864 is about 2015.3057239408.

The spelling of 8185077864 in words is "eight billion, one hundred eighty-five million, seventy-seven thousand, eight hundred sixty-four".