6165624022272 has 2592 divisors, whose sum is σ = 24580205395200. Its totient is φ = 1464485806080.

The previous prime is 6165624022183. The next prime is 6165624022351. The reversal of 6165624022272 is 2722204265616.

It is a happy number.

6165624022272 is a `hidden beast` number, since 6 + 1 + 6 + 562 + 40 + 22 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26924122254 + ... + 26924122482.

Almost surely, 2^{6165624022272} 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 6165624022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290102697600).

6165624022272 is an abundant number, since it is smaller than the sum of its proper divisors (18414581372928).

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

6165624022272 is a wasteful number, since it uses less digits than its factorization.

6165624022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 6165624022272 its reverse (2722204265616), we get a palindrome (8887828287888).

The spelling of 6165624022272 in words is "six trillion, one hundred sixty-five billion, six hundred twenty-four million, twenty-two thousand, two hundred seventy-two".