1006668000000 has 1260 divisors, whose sum is σ = 4057607436960. Its totient is φ = 246758400000.

The previous prime is 1006667999993. The next prime is 1006668000049. The reversal of 1006668000000 is 8666001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 4211999881 + ... + 4212000119.

Almost surely, 2^{1006668000000} is an apocalyptic number.

1006668000000 is a gapful number since it is divisible by the number (10) 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 1006668000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028803718480).

1006668000000 is an abundant number, since it is smaller than the sum of its proper divisors (3050939436960).

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

1006668000000 is an frugal number, since it uses more digits than its factorization.

1006668000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1006668000000 in words is "one trillion, six billion, six hundred sixty-eight million", and thus it is an aban number.