8087424864 has 192 divisors, whose sum is σ = 22915436544. Its totient is φ = 2491163136.

The previous prime is 8087424847. The next prime is 8087424869. The reversal of 8087424864 is 4684247808.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8087424869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9778819 + ... + 9779645.

It is an arithmetic number, because the mean of its divisors is an integer number (119351232).

Almost surely, 2^8087424864 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 8087424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457718272).

8087424864 is an abundant number, since it is smaller than the sum of its proper divisors (14828011680).

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

8087424864 is a wasteful number, since it uses less digits than its factorization.

8087424864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The square root of 8087424864 is about 89930.1109973740. The cubic root of 8087424864 is about 2007.2590267236.

The spelling of 8087424864 in words is "eight billion, eighty-seven million, four hundred twenty-four thousand, eight hundred sixty-four".