8319451987728 has 480 divisors, whose sum is σ = 27190842531840. Its totient is φ = 2325644006400.

The previous prime is 8319451987711. The next prime is 8319451987753. The reversal of 8319451987728 is 8277891549138.

8319451987728 is a `hidden beast` number, since 8 + 3 + 1 + 9 + 4 + 519 + 87 + 7 + 28 = 666.

It is a super-2 number, since 2×8319451987728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8212686550 + ... + 8212687562.

It is an arithmetic number, because the mean of its divisors is an integer number (56647588608).

Almost surely, 2^{8319451987728} 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 8319451987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595421265920).

8319451987728 is an abundant number, since it is smaller than the sum of its proper divisors (18871390544112).

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

8319451987728 is a wasteful number, since it uses less digits than its factorization.

8319451987728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 8319451987728 in words is "eight trillion, three hundred nineteen billion, four hundred fifty-one million, nine hundred eighty-seven thousand, seven hundred twenty-eight".