8147784960 has 648 divisors, whose sum is σ = 33855704064. Its totient is φ = 1772052480.

The previous prime is 8147784947. The next prime is 8147785033. The reversal of 8147784960 is 694877418.

It is a happy number.

8147784960 is a `hidden beast` number, since 8 + 1 + 477 + 84 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8147784897 and 8147784906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42658465 + ... + 42658655.

Almost surely, 2^8147784960 is an apocalyptic number.

8147784960 is a gapful number since it is divisible by the number (80) 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 8147784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927852032).

8147784960 is an abundant number, since it is smaller than the sum of its proper divisors (25707919104).

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

8147784960 is a wasteful number, since it uses less digits than its factorization.

8147784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 8147784960 is about 90265.0816207463. The cubic root of 8147784960 is about 2012.2403474535.

The spelling of 8147784960 in words is "eight billion, one hundred forty-seven million, seven hundred eighty-four thousand, nine hundred sixty".