6617142224 has 80 divisors (see below), whose sum is σ = 16041592320. Its totient is φ = 2568862080.

The previous prime is 6617142187. The next prime is 6617142241. The reversal of 6617142224 is 4222417166.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339167 + ... + 358145.

It is an arithmetic number, because the mean of its divisors is an integer number (200519904).

Almost surely, 2^6617142224 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 6617142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020796160).

6617142224 is an abundant number, since it is smaller than the sum of its proper divisors (9424450096).

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

6617142224 is a wasteful number, since it uses less digits than its factorization.

6617142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19288 (or 19282 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 6617142224 is about 81345.8187247507. The cubic root of 6617142224 is about 1877.4000411557.

It can be divided in two parts, 6617 and 142224, that added together give a palindrome (148841).

The spelling of 6617142224 in words is "six billion, six hundred seventeen million, one hundred forty-two thousand, two hundred twenty-four".