6562612224 has 440 divisors, whose sum is σ = 22826833920. Its totient is φ = 1839366144.

The previous prime is 6562612171. The next prime is 6562612247. The reversal of 6562612224 is 4222162656.

6562612224 is a `hidden beast` number, since 6 + 5 + 626 + 1 + 2 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51674049 + ... + 51674175.

It is an arithmetic number, because the mean of its divisors is an integer number (51879168).

Almost surely, 2^6562612224 is an apocalyptic number.

6562612224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6562612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413416960).

6562612224 is an abundant number, since it is smaller than the sum of its proper divisors (16264221696).

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

6562612224 is a wasteful number, since it uses less digits than its factorization.

6562612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6562612224 is about 81009.9513887029. The cubic root of 6562612224 is about 1872.2287688862.

The spelling of 6562612224 in words is "six billion, five hundred sixty-two million, six hundred twelve thousand, two hundred twenty-four".