6616600841664 has 784 divisors, whose sum is σ = 22123266310656. Its totient is φ = 1961504709120.

The previous prime is 6616600841647. The next prime is 6616600841671. The reversal of 6616600841664 is 4661480066166.

6616600841664 is a `hidden beast` number, since 6 + 6 + 16 + 600 + 8 + 4 + 16 + 6 + 4 = 666.

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 6616600841664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2918658259 + ... + 2918660525.

Almost surely, 2^{6616600841664} is an apocalyptic number.

6616600841664 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 6616600841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061633155328).

6616600841664 is an abundant number, since it is smaller than the sum of its proper divisors (15506665468992).

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

6616600841664 is an equidigital number, since it uses as much as digits as its factorization.

6616600841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6616600841664 in words is "six trillion, six hundred sixteen billion, six hundred million, eight hundred forty-one thousand, six hundred sixty-four".