8147962368 has 800 divisors, whose sum is σ = 31941955584. Its totient is φ = 2006581248.

The previous prime is 8147962327. The next prime is 8147962373. The reversal of 8147962368 is 8632697418.

8147962368 is a `hidden beast` number, since 8 + 1 + 4 + 7 + 9 + 623 + 6 + 8 = 666.

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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64157121 + ... + 64157247.

Almost surely, 2^8147962368 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 8147962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970977792).

8147962368 is an abundant number, since it is smaller than the sum of its proper divisors (23793993216).

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

8147962368 is a wasteful number, since it uses less digits than its factorization.

8147962368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8147962368 is about 90266.0643209839. The cubic root of 8147962368 is about 2012.2549520340.

The spelling of 8147962368 in words is "eight billion, one hundred forty-seven million, nine hundred sixty-two thousand, three hundred sixty-eight".