6618309984 has 768 divisors, whose sum is σ = 25239029760. Its totient is φ = 1654456320.

The previous prime is 6618309977. The next prime is 6618310009. The reversal of 6618309984 is 4899038166.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6618309984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48308764 + ... + 48308900.

It is an arithmetic number, because the mean of its divisors is an integer number (32863320).

Almost surely, 2^6618309984 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 6618309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619514880).

6618309984 is an abundant number, since it is smaller than the sum of its proper divisors (18620719776).

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

6618309984 is a wasteful number, since it uses less digits than its factorization.

6618309984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6618309984 is about 81352.9961587156. The cubic root of 6618309984 is about 1877.5104727008.

The spelling of 6618309984 in words is "six billion, six hundred eighteen million, three hundred nine thousand, nine hundred eighty-four".