66255345600 has 504 divisors, whose sum is σ = 230430720240. Its totient is φ = 16663511040.

The previous prime is 66255345587. The next prime is 66255345643. The reversal of 66255345600 is 654355266.

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 71 ways as a sum of consecutive naturals, for example, 246302266 + ... + 246302534.

It is an arithmetic number, because the mean of its divisors is an integer number (457203810).

Almost surely, 2^66255345600 is an apocalyptic number.

66255345600 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 66255345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115215360120).

66255345600 is an abundant number, since it is smaller than the sum of its proper divisors (164175374640).

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

66255345600 is a wasteful number, since it uses less digits than its factorization.

66255345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 66255345600 in words is "sixty-six billion, two hundred fifty-five million, three hundred forty-five thousand, six hundred".