8395011072 has 440 divisors, whose sum is σ = 30197999040. Its totient is φ = 2269347840.

The previous prime is 8395011071. The next prime is 8395011133. The reversal of 8395011072 is 2701105938.

8395011072 is a `hidden beast` number, since 83 + 9 + 501 + 1 + 0 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8395011071) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 11031172 + ... + 11031932.

It is an arithmetic number, because the mean of its divisors is an integer number (68631816).

Almost surely, 2^8395011072 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 8395011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098999520).

8395011072 is an abundant number, since it is smaller than the sum of its proper divisors (21802987968).

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

8395011072 is a wasteful number, since it uses less digits than its factorization.

8395011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8395011072 is about 91624.2930231934. The cubic root of 8395011072 is about 2032.3901951818.

The spelling of 8395011072 in words is "eight billion, three hundred ninety-five million, eleven thousand, seventy-two".