8219654784 has 384 divisors, whose sum is σ = 27136961280. Its totient is φ = 2365562880.

The previous prime is 8219654783. The next prime is 8219654789. The reversal of 8219654784 is 4874569128.

It is a happy number.

8219654784 is a `hidden beast` number, since 8 + 2 + 1 + 96 + 547 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 8219654784.

It is not an unprimeable number, because it can be changed into a prime (8219654783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22036422 + ... + 22036794.

It is an arithmetic number, because the mean of its divisors is an integer number (70669170).

Almost surely, 2^8219654784 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 8219654784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568480640).

8219654784 is an abundant number, since it is smaller than the sum of its proper divisors (18917306496).

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

8219654784 is a wasteful number, since it uses less digits than its factorization.

8219654784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8219654784 is about 90662.3118169838. The cubic root of 8219654784 is about 2018.1395463709.

The spelling of 8219654784 in words is "eight billion, two hundred nineteen million, six hundred fifty-four thousand, seven hundred eighty-four".