2721661766000 has 160 divisors (see below), whose sum is σ = 6750261735360. Its totient is φ = 1060988544000.

The previous prime is 2721661765993. The next prime is 2721661766011. The reversal of 2721661766000 is 6671661272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13195667 + ... + 13400333.

It is an arithmetic number, because the mean of its divisors is an integer number (42189135846).

Almost surely, 2^{2721661766000} is an apocalyptic number.

2721661766000 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 2721661766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375130867680).

2721661766000 is an abundant number, since it is smaller than the sum of its proper divisors (4028599969360).

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

2721661766000 is a wasteful number, since it uses less digits than its factorization.

2721661766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204860 (or 204844 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 2721661766000 in words is "two trillion, seven hundred twenty-one billion, six hundred sixty-one million, seven hundred sixty-six thousand".