8357484096 has 560 divisors, whose sum is σ = 28811280960. Its totient is φ = 2373857280.

The previous prime is 8357484089. The next prime is 8357484097. The reversal of 8357484096 is 6904847538.

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

It is not an unprimeable number, because it can be changed into a prime (8357484097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78107275 + ... + 78107381.

It is an arithmetic number, because the mean of its divisors is an integer number (51448716).

Almost surely, 2^8357484096 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 8357484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405640480).

8357484096 is an abundant number, since it is smaller than the sum of its proper divisors (20453796864).

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

8357484096 is a wasteful number, since it uses less digits than its factorization.

8357484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 8357484096 is about 91419.2763917982. The cubic root of 8357484096 is about 2029.3573071227.

The spelling of 8357484096 in words is "eight billion, three hundred fifty-seven million, four hundred eighty-four thousand, ninety-six".