1506661606600 has 192 divisors, whose sum is σ = 3637105156800. Its totient is φ = 580107648000.

The previous prime is 1506661606573. The next prime is 1506661606601. The reversal of 1506661606600 is 66061666051.

It is not an unprimeable number, because it can be changed into a prime (1506661606601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163389990 + ... + 163399210.

It is an arithmetic number, because the mean of its divisors is an integer number (18943256025).

Almost surely, 2^{1506661606600} is an apocalyptic number.

1506661606600 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 1506661606600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818552578400).

1506661606600 is an abundant number, since it is smaller than the sum of its proper divisors (2130443550200).

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

1506661606600 is a wasteful number, since it uses less digits than its factorization.

1506661606600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 1506661606600 in words is "one trillion, five hundred six billion, six hundred sixty-one million, six hundred six thousand, six hundred".