6722352000 has 1536 divisors, whose sum is σ = 32435020800. Its totient is φ = 1343692800.

The previous prime is 6722351983. The next prime is 6722352001. The reversal of 6722352000 is 2532276.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6722352001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353807991 + ... + 353808009.

It is an arithmetic number, because the mean of its divisors is an integer number (21116550).

Almost surely, 2^6722352000 is an apocalyptic number.

6722352000 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 6722352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217510400).

6722352000 is an abundant number, since it is smaller than the sum of its proper divisors (25712668800).

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

6722352000 is a wasteful number, since it uses less digits than its factorization.

6722352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6722352000 is about 81989.9506037173. The cubic root of 6722352000 is about 1887.2977254988.

Adding to 6722352000 its reverse (2532276), we get a palindrome (6724884276).

The spelling of 6722352000 in words is "six billion, seven hundred twenty-two million, three hundred fifty-two thousand".