2627666600000 has 336 divisors, whose sum is σ = 7168437190656. Its totient is φ = 949528320000.

The previous prime is 2627666599997. The next prime is 2627666600017. The reversal of 2627666600000 is 66667262.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122189249 + ... + 122210751.

It is an arithmetic number, because the mean of its divisors is an integer number (21334634496).

Almost surely, 2^{2627666600000} is an apocalyptic number.

2627666600000 is a gapful number since it is divisible by the number (20) 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 2627666600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584218595328).

2627666600000 is an abundant number, since it is smaller than the sum of its proper divisors (4540770590656).

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

2627666600000 is an equidigital number, since it uses as much as digits as its factorization.

2627666600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21570 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 2627666600000 in words is "two trillion, six hundred twenty-seven billion, six hundred sixty-six million, six hundred thousand".