8249319936 has 600 divisors, whose sum is σ = 29357366544. Its totient is φ = 2285936640.

The previous prime is 8249319929. The next prime is 8249319983. The reversal of 8249319936 is 6399139428.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77096395 + ... + 77096501.

Almost surely, 2^8249319936 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 8249319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678683272).

8249319936 is an abundant number, since it is smaller than the sum of its proper divisors (21108046608).

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

8249319936 is a wasteful number, since it uses less digits than its factorization.

8249319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 8249319936 is about 90825.7669166630. The cubic root of 8249319936 is about 2020.5644875359.

The spelling of 8249319936 in words is "eight billion, two hundred forty-nine million, three hundred nineteen thousand, nine hundred thirty-six".