8067663504 has 100 divisors (see below), whose sum is σ = 23388370236. Its totient is φ = 2684821248.

The previous prime is 8067663493. The next prime is 8067663509. The reversal of 8067663504 is 4053667608.

8067663504 is a `hidden beast` number, since 8 + 0 + 6 + 7 + 6 + 635 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1611219600 + 6456443904 = 40140^2 + 80352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8067663504.

It is not an unprimeable number, because it can be changed into a prime (8067663509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 841522 + ... + 851054.

Almost surely, 2^8067663504 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 8067663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694185118).

8067663504 is an abundant number, since it is smaller than the sum of its proper divisors (15320706732).

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

8067663504 is a wasteful number, since it uses less digits than its factorization.

8067663504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8067663504 is about 89820.1731461257. The cubic root of 8067663504 is about 2005.6228025648.

The spelling of 8067663504 in words is "eight billion, sixty-seven million, six hundred sixty-three thousand, five hundred four".