6666028617600 has 1440 divisors, whose sum is σ = 28217341318320. Its totient is φ = 1545578496000.

The previous prime is 6666028617587. The next prime is 6666028617653. The reversal of 6666028617600 is 67168206666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 721348980 + ... + 721358220.

Almost surely, 2^{6666028617600} is an apocalyptic number.

6666028617600 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 6666028617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108670659160).

6666028617600 is an abundant number, since it is smaller than the sum of its proper divisors (21551312700720).

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

6666028617600 is a wasteful number, since it uses less digits than its factorization.

6666028617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6666028617600 in words is "six trillion, six hundred sixty-six billion, twenty-eight million, six hundred seventeen thousand, six hundred".