6817272000 has 1344 divisors, whose sum is σ = 31222444032. Its totient is φ = 1290240000.

The previous prime is 6817271963. The next prime is 6817272019. The reversal of 6817272000 is 2727186.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219911985 + ... + 219912015.

Almost surely, 2^6817272000 is an apocalyptic number.

6817272000 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 6817272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611222016).

6817272000 is an abundant number, since it is smaller than the sum of its proper divisors (24405172032).

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

6817272000 is a wasteful number, since it uses less digits than its factorization.

6817272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 6817272000 is about 82566.7729779964. The cubic root of 6817272000 is about 1896.1391590787.

Adding to 6817272000 its reverse (2727186), we get a palindrome (6819999186).

The spelling of 6817272000 in words is "six billion, eight hundred seventeen million, two hundred seventy-two thousand".