8467538688 has 432 divisors, whose sum is σ = 30422568960. Its totient is φ = 2311981056.

The previous prime is 8467538671. The next prime is 8467538749. The reversal of 8467538688 is 8868357648.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8467538688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7789281 + ... + 7790367.

Almost surely, 2^8467538688 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 8467538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211284480).

8467538688 is an abundant number, since it is smaller than the sum of its proper divisors (21955030272).

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

8467538688 is a wasteful number, since it uses less digits than its factorization.

8467538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1122 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The square root of 8467538688 is about 92019.2299902580. The cubic root of 8467538688 is about 2038.2262783159.

The spelling of 8467538688 in words is "eight billion, four hundred sixty-seven million, five hundred thirty-eight thousand, six hundred eighty-eight".