8357819904 has 240 divisors, whose sum is σ = 27823210272. Its totient is φ = 2365784064.

The previous prime is 8357819891. The next prime is 8357819917. The reversal of 8357819904 is 4099187538.

It is an interprime number because it is at equal distance from previous prime (8357819891) and next prime (8357819917).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3643782 + ... + 3646074.

Almost surely, 2^8357819904 is an apocalyptic number.

8357819904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8357819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911605136).

8357819904 is an abundant number, since it is smaller than the sum of its proper divisors (19465390368).

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

8357819904 is a wasteful number, since it uses less digits than its factorization.

8357819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8357819904 is about 91421.1130100701. The cubic root of 8357819904 is about 2029.3844869647.

The spelling of 8357819904 in words is "eight billion, three hundred fifty-seven million, eight hundred nineteen thousand, nine hundred four".