8066024064 has 240 divisors, whose sum is σ = 27925194330. Its totient is φ = 2304433152.

The previous prime is 8066024053. The next prime is 8066024101. The reversal of 8066024064 is 4604206608.

It is a happy number.

8066024064 is a `hidden beast` number, since 8 + 0 + 6 + 602 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 3969000000 = 64008^2 + 63000^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 500094 + ... + 515970.

Almost surely, 2^8066024064 is an apocalyptic number.

8066024064 is a gapful number since it is divisible by the number (84) 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 8066024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962597165).

8066024064 is an abundant number, since it is smaller than the sum of its proper divisors (19859170266).

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

8066024064 is a wasteful number, since it uses less digits than its factorization.

8066024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8066024064 is about 89811.0464475278. The cubic root of 8066024064 is about 2005.4869383212.

The spelling of 8066024064 in words is "eight billion, sixty-six million, twenty-four thousand, sixty-four".