6009211824 has 160 divisors (see below), whose sum is σ = 19749926400. Its totient is φ = 1560787200.

The previous prime is 6009211823. The next prime is 6009211861. The reversal of 6009211824 is 4281129006.

It is a super-2 number, since 2×6009211824² = 72221253491402813952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6009211823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164514 + ... + 197694.

It is an arithmetic number, because the mean of its divisors is an integer number (123437040).

Almost surely, 2^6009211824 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 6009211824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874963200).

6009211824 is an abundant number, since it is smaller than the sum of its proper divisors (13740714576).

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

6009211824 is a wasteful number, since it uses less digits than its factorization.

6009211824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33224 (or 33204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6009211824 is about 77519.1061867976. The cubic root of 6009211824 is about 1818.0500614935.

The spelling of 6009211824 in words is "six billion, nine million, two hundred eleven thousand, eight hundred twenty-four".