6008947152 has 80 divisors (see below), whose sum is σ = 16828172928. Its totient is φ = 1836633600.

The previous prime is 6008947111. The next prime is 6008947159. The reversal of 6008947152 is 2517498006.

It is a super-2 number, since 2×6008947152² = 72214891751057822208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6008947159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62338 + ... + 126110.

Almost surely, 2^6008947152 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 6008947152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414086464).

6008947152 is an abundant number, since it is smaller than the sum of its proper divisors (10819225776).

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

6008947152 is a wasteful number, since it uses less digits than its factorization.

6008947152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63948 (or 63942 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 6008947152 is about 77517.3990275732. The cubic root of 6008947152 is about 1818.0233694733.

The spelling of 6008947152 in words is "six billion, eight million, nine hundred forty-seven thousand, one hundred fifty-two".