6772152200 has 180 divisors, whose sum is σ = 18093435045. Its totient is φ = 2355531200.

The previous prime is 6772152157. The next prime is 6772152241. The reversal of 6772152200 is 22512776.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6636709156 + 135443044 = 81466^2 + 11638^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58190.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 294441389 + ... + 294441411.

Almost surely, 2^6772152200 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 6772152200

6772152200 is an abundant number, since it is smaller than the sum of its proper divisors (11321282845).

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

6772152200 is an equidigital number, since it uses as much as digits as its factorization.

6772152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 6772152200 is about 82293.0871944904. The cubic root of 6772152200 is about 1891.9467264610.

Multiplying 6772152200 by its sum of digits (32), we get a square (216708870400 = 465520²).

Adding to 6772152200 its reverse (22512776), we get a palindrome (6794664976).

The spelling of 6772152200 in words is "six billion, seven hundred seventy-two million, one hundred fifty-two thousand, two hundred".