6612812544 has 144 divisors (see below), whose sum is σ = 19312709472. Its totient is φ = 1996161024.

The previous prime is 6612812539. The next prime is 6612812567. The reversal of 6612812544 is 4452182166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522904 + ... + 535400.

It is an arithmetic number, because the mean of its divisors is an integer number (134116038).

Almost surely, 2^6612812544 is an apocalyptic number.

6612812544 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 6612812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656354736).

6612812544 is an abundant number, since it is smaller than the sum of its proper divisors (12699896928).

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

6612812544 is a wasteful number, since it uses less digits than its factorization.

6612812544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582 (or 12568 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 6612812544 is about 81319.2015701089. The cubic root of 6612812544 is about 1876.9904829381.

The spelling of 6612812544 in words is "six billion, six hundred twelve million, eight hundred twelve thousand, five hundred forty-four".