8319716496 has 640 divisors, whose sum is σ = 31797964800. Its totient is φ = 2020515840.

The previous prime is 8319716459. The next prime is 8319716501. The reversal of 8319716496 is 6946179138.

8319716496 is a `hidden beast` number, since 83 + 1 + 9 + 71 + 6 + 496 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (1959552) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39429831 + ... + 39430041.

It is an arithmetic number, because the mean of its divisors is an integer number (49684320).

Almost surely, 2^8319716496 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 8319716496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898982400).

8319716496 is an abundant number, since it is smaller than the sum of its proper divisors (23478248304).

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

8319716496 is a wasteful number, since it uses less digits than its factorization.

8319716496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 8319716496 is about 91212.4799355878. The cubic root of 8319716496 is about 2026.2957917745.

The spelling of 8319716496 in words is "eight billion, three hundred nineteen million, seven hundred sixteen thousand, four hundred ninety-six".