6009822000 has 640 divisors, whose sum is σ = 26518302720. Its totient is φ = 1266969600.

The previous prime is 6009821959. The next prime is 6009822011. The reversal of 6009822000 is 2289006.

It is a super-2 number, since 2×6009822000² = 72235920943368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4913389 + ... + 4914611.

It is an arithmetic number, because the mean of its divisors is an integer number (41434848).

Almost surely, 2^6009822000 is an apocalyptic number.

6009822000 is a gapful number since it is divisible by the number (60) 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 6009822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

6009822000 is an abundant number, since it is smaller than the sum of its proper divisors (20508480720).

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

6009822000 is a wasteful number, since it uses less digits than its factorization.

6009822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6009822000 is about 77523.0417359897. The cubic root of 6009822000 is about 1818.1115944090. Note that the first 3 decimals are identical.

The spelling of 6009822000 in words is "six billion, nine million, eight hundred twenty-two thousand".