6617272628836 has 27 divisors (see below), whose sum is σ = 12301649513209. Its totient is φ = 3113969490368.

The previous prime is 6617272628831. The next prime is 6617272628849. The reversal of 6617272628836 is 6388262727166.

It is a happy number.

The square root of 6617272628836 is 2572406.

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

It can be written as a sum of positive squares in only one way, i.e., 5151855852900 + 1465416775936 = 2269770^2 + 1210544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6617272628831) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 87423975 + ... + 87499633.

Almost surely, 2^{6617272628836} is an apocalyptic number.

6617272628836 is the 2572406-th square number.

It is an amenable number.

6617272628836 is a deficient number, since it is larger than the sum of its proper divisors (5684376884373).

6617272628836 is an frugal number, since it uses more digits than its factorization.

6617272628836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151356 (or 75678 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

Multiplying 6617272628836 by its sum of digits (64), we get a square (423505448245504 = 20579248²).

The spelling of 6617272628836 in words is "six trillion, six hundred seventeen billion, two hundred seventy-two million, six hundred twenty-eight thousand, eight hundred thirty-six".