8399782944 has 168 divisors, whose sum is σ = 28336855680. Its totient is φ = 2399891328.

The previous prime is 8399782931. The next prime is 8399782949. The reversal of 8399782944 is 4492879938.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

It is not an unprimeable number, because it can be changed into a prime (8399782949) 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 27 ways as a sum of consecutive naturals, for example, 137577 + ... + 189015.

It is an arithmetic number, because the mean of its divisors is an integer number (168671760).

Almost surely, 2^8399782944 is an apocalyptic number.

8399782944 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 8399782944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14168427840).

8399782944 is an abundant number, since it is smaller than the sum of its proper divisors (19937072736).

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

8399782944 is an equidigital number, since it uses as much as digits as its factorization.

8399782944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51474 (or 51451 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 8399782944 is about 91650.3297539076. The cubic root of 8399782944 is about 2032.7752043577.

The spelling of 8399782944 in words is "eight billion, three hundred ninety-nine million, seven hundred eighty-two thousand, nine hundred forty-four".