8080064640 has 768 divisors, whose sum is σ = 32135875200. Its totient is φ = 1857945600.

The previous prime is 8080064563. The next prime is 8080064647. The reversal of 8080064640 is 464600808.

8080064640 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 0 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8080064595 and 8080064604.

It is not an unprimeable number, because it can be changed into a prime (8080064647) 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, 80000590 + ... + 80000690.

Almost surely, 2^8080064640 is an apocalyptic number.

8080064640 is a gapful number since it is divisible by the number (80) 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 8080064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067937600).

8080064640 is an abundant number, since it is smaller than the sum of its proper divisors (24055810560).

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

8080064640 is a wasteful number, since it uses less digits than its factorization.

8080064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8080064640 is about 89889.1797715387. The cubic root of 8080064640 is about 2006.6499181221.

The spelling of 8080064640 in words is "eight billion, eighty million, sixty-four thousand, six hundred forty".