1006661064600 has 144 divisors (see below), whose sum is σ = 3472074000720. Its totient is φ = 261187718400.

The previous prime is 1006661064571. The next prime is 1006661064649. The reversal of 1006661064600 is 64601666001.

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, 7490916 + ... + 7624115.

It is an arithmetic number, because the mean of its divisors is an integer number (24111625005).

Almost surely, 2^{1006661064600} is an apocalyptic number.

1006661064600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006661064600 is an abundant number, since it is smaller than the sum of its proper divisors (2465412936120).

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

1006661064600 is a wasteful number, since it uses less digits than its factorization.

1006661064600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15115090 (or 15115078 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1006661064600 in words is "one trillion, six billion, six hundred sixty-one million, sixty-four thousand, six hundred".