8013947568 has 80 divisors (see below), whose sum is σ = 22613302656. Its totient is φ = 2425400320.

The previous prime is 8013947563. The next prime is 8013947573. The reversal of 8013947568 is 8657493108.

It is an interprime number because it is at equal distance from previous prime (8013947563) and next prime (8013947573).

It is a super-2 number, since 2×8013947568² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8013947568.

It is not an unprimeable number, because it can be changed into a prime (8013947563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427480 + ... + 445832.

Almost surely, 2^8013947568 is an apocalyptic number.

8013947568 is a gapful number since it is divisible by the number (88) 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 8013947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306651328).

8013947568 is an abundant number, since it is smaller than the sum of its proper divisors (14599355088).

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

8013947568 is a wasteful number, since it uses less digits than its factorization.

8013947568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19202 (or 19196 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 8013947568 is about 89520.6544212005. The cubic root of 8013947568 is about 2001.1616225193.

The spelling of 8013947568 in words is "eight billion, thirteen million, nine hundred forty-seven thousand, five hundred sixty-eight".