66312288000 has 1296 divisors, whose sum is σ = 287314320384. Its totient is φ = 14631321600.

The previous prime is 66312287989. The next prime is 66312288043. The reversal of 66312288000 is 88221366.

66312288000 is a `hidden beast` number, since 66 + 312 + 288 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 522143937 + ... + 522144063.

Almost surely, 2^66312288000 is an apocalyptic number.

66312288000 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 66312288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143657160192).

66312288000 is an abundant number, since it is smaller than the sum of its proper divisors (221002032384).

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

66312288000 is a wasteful number, since it uses less digits than its factorization.

66312288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 66312288000 in words is "sixty-six billion, three hundred twelve million, two hundred eighty-eight thousand".