6772131838224 has 75 divisors (see below), whose sum is σ = 19600785446407. Its totient is φ = 2257346051424.

The previous prime is 6772131838189. The next prime is 6772131838271. The reversal of 6772131838224 is 4228381312776.

It is a happy number.

The square root of 6772131838224 is 2602332.

It is a perfect power (a square), and thus also a powerful number.

6772131838224 is a `hidden beast` number, since 6 + 7 + 72 + 1 + 318 + 38 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 93647809 + ... + 93720095.

Almost surely, 2^{6772131838224} is an apocalyptic number.

6772131838224 is the 2602332-nd square number.

It is an amenable number.

6772131838224 is an abundant number, since it is smaller than the sum of its proper divisors (12828653608183).

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

6772131838224 is an frugal number, since it uses more digits than its factorization.

6772131838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144594 (or 72292 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 6772131838224 in words is "six trillion, seven hundred seventy-two billion, one hundred thirty-one million, eight hundred thirty-eight thousand, two hundred twenty-four".