6772212000 has 288 divisors, whose sum is σ = 25082628480. Its totient is φ = 1727193600.

The previous prime is 6772211959. The next prime is 6772212001. The reversal of 6772212000 is 2122776.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6772212001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823911 + ... + 832089.

It is an arithmetic number, because the mean of its divisors is an integer number (87092460).

Almost surely, 2^6772212000 is an apocalyptic number.

6772212000 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 6772212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541314240).

6772212000 is an abundant number, since it is smaller than the sum of its proper divisors (18310416480).

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

6772212000 is a wasteful number, since it uses less digits than its factorization.

6772212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 6772212000 is about 82293.4505291885. The cubic root of 6772212000 is about 1891.9522952511.

Adding to 6772212000 its reverse (2122776), we get a palindrome (6774334776).

The spelling of 6772212000 in words is "six billion, seven hundred seventy-two million, two hundred twelve thousand".