6001006665600 has 288 divisors, whose sum is σ = 21471350790240. Its totient is φ = 1595905228800.

The previous prime is 6001006665593. The next prime is 6001006665631. The reversal of 6001006665600 is 65666001006.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10285720 + ... + 10853480.

It is an arithmetic number, because the mean of its divisors is an integer number (74553301355).

Almost surely, 2^{6001006665600} is an apocalyptic number.

6001006665600 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 6001006665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735675395120).

6001006665600 is an abundant number, since it is smaller than the sum of its proper divisors (15470344124640).

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

6001006665600 is a wasteful number, since it uses less digits than its factorization.

6001006665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568158 (or 568138 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6001006665600 in words is "six trillion, one billion, six million, six hundred sixty-five thousand, six hundred".