6618731616 has 240 divisors, whose sum is σ = 22358198016. Its totient is φ = 1881563904.

The previous prime is 6618731611. The next prime is 6618731621. The reversal of 6618731616 is 6161378166.

6618731616 is a `hidden beast` number, since 6 + 618 + 7 + 3 + 16 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6618731611) and next prime (6618731621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6618731611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4117885 + ... + 4119491.

Almost surely, 2^6618731616 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 6618731616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179099008).

6618731616 is an abundant number, since it is smaller than the sum of its proper divisors (15739466400).

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

6618731616 is a wasteful number, since it uses less digits than its factorization.

6618731616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1846 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 6618731616 is about 81355.5874909646. The cubic root of 6618731616 is about 1877.5503419770.

The spelling of 6618731616 in words is "six billion, six hundred eighteen million, seven hundred thirty-one thousand, six hundred sixteen".