6618737664 has 352 divisors, whose sum is σ = 24446092800. Its totient is φ = 1718599680.

The previous prime is 6618737659. The next prime is 6618737681. The reversal of 6618737664 is 4667378166.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6618737664.

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 31 ways as a sum of consecutive naturals, for example, 2127342 + ... + 2130450.

Almost surely, 2^6618737664 is an apocalyptic number.

6618737664 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 6618737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223046400).

6618737664 is an abundant number, since it is smaller than the sum of its proper divisors (17827355136).

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

6618737664 is a wasteful number, since it uses less digits than its factorization.

6618737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3132 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 6618737664 is about 81355.6246611136. The cubic root of 6618737664 is about 1877.5509138600.

The spelling of 6618737664 in words is "six billion, six hundred eighteen million, seven hundred thirty-seven thousand, six hundred sixty-four".