6123354660 has 144 divisors (see below), whose sum is σ = 18799326000. Its totient is φ = 1613233152.

The previous prime is 6123354647. The next prime is 6123354667. The reversal of 6123354660 is 664533216.

6123354660 is a `hidden beast` number, since 612 + 3 + 35 + 4 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 180794916 + 5942559744 = 13446^2 + 77088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6123354667) 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 47 ways as a sum of consecutive naturals, for example, 6141282 + ... + 6142278.

It is an arithmetic number, because the mean of its divisors is an integer number (130550875).

Almost surely, 2^6123354660 is an apocalyptic number.

6123354660 is a gapful number since it is divisible by the number (60) 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 6123354660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399663000).

6123354660 is an abundant number, since it is smaller than the sum of its proper divisors (12675971340).

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

6123354660 is a wasteful number, since it uses less digits than its factorization.

6123354660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6123354660 is about 78251.8668147923. The cubic root of 6123354660 is about 1829.4890089910.

Adding to 6123354660 its reverse (664533216), we get a palindrome (6787887876).

The spelling of 6123354660 in words is "six billion, one hundred twenty-three million, three hundred fifty-four thousand, six hundred sixty".