660132633600 has 1188 divisors, whose sum is σ = 2697286489352. Its totient is φ = 159849676800.

The previous prime is 660132633557. The next prime is 660132633653. The reversal of 660132633600 is 6336231066.

It is a happy number.

660132633600 is a `hidden beast` number, since 6 + 6 + 0 + 13 + 2 + 6 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 752716362 + ... + 752717238.

Almost surely, 2^660132633600 is an apocalyptic number.

660132633600 is a gapful number since it is divisible by the number (60) 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 660132633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348643244676).

660132633600 is an abundant number, since it is smaller than the sum of its proper divisors (2037153855752).

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

660132633600 is a wasteful number, since it uses less digits than its factorization.

660132633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 660132633600 its reverse (6336231066), we get a palindrome (666468864666).

The spelling of 660132633600 in words is "six hundred sixty billion, one hundred thirty-two million, six hundred thirty-three thousand, six hundred".