8064022176 has 192 divisors, whose sum is σ = 26936098560. Its totient is φ = 2299207680.

The previous prime is 8064022093. The next prime is 8064022177. The reversal of 8064022176 is 6712204608.

8064022176 is a `hidden beast` number, since 8 + 0 + 640 + 2 + 2 + 1 + 7 + 6 = 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).

8064022176 is a modest number, since divided by 22176 gives 8064 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8064022176.

It is not an unprimeable number, because it can be changed into a prime (8064022177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3730536 + ... + 3732696.

It is an arithmetic number, because the mean of its divisors is an integer number (140292180).

Almost surely, 2^8064022176 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 8064022176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468049280).

8064022176 is an abundant number, since it is smaller than the sum of its proper divisors (18872076384).

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

8064022176 is a wasteful number, since it uses less digits than its factorization.

8064022176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8064022176 is about 89799.9007571835. The cubic root of 8064022176 is about 2005.3210121934.

The spelling of 8064022176 in words is "eight billion, sixty-four million, twenty-two thousand, one hundred seventy-six".