8067408132 has 288 divisors, whose sum is σ = 24206909440. Its totient is φ = 2040422400.

The previous prime is 8067408131. The next prime is 8067408133. The reversal of 8067408132 is 2318047608.

It is an interprime number because it is at equal distance from previous prime (8067408131) and next prime (8067408133).

It is not an unprimeable number, because it can be changed into a prime (8067408131) 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, 83169108 + ... + 83169204.

Almost surely, 2^8067408132 is an apocalyptic number.

8067408132 is a gapful number since it is divisible by the number (82) 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 8067408132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103454720).

8067408132 is an abundant number, since it is smaller than the sum of its proper divisors (16139501308).

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

8067408132 is a wasteful number, since it uses less digits than its factorization.

8067408132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8067408132 is about 89818.7515611300. The cubic root of 8067408132 is about 2005.6016404977.

The spelling of 8067408132 in words is "eight billion, sixty-seven million, four hundred eight thousand, one hundred thirty-two".