66244569600 has 480 divisors, whose sum is σ = 246478510080. Its totient is φ = 15538176000.

The previous prime is 66244569593. The next prime is 66244569619. The reversal of 66244569600 is 696544266.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66244569600.

It is an unprimeable number.

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, 13091871 + ... + 13096929.

It is an arithmetic number, because the mean of its divisors is an integer number (513496896).

Almost surely, 2^66244569600 is an apocalyptic number.

66244569600 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 66244569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123239255040).

66244569600 is an abundant number, since it is smaller than the sum of its proper divisors (180233940480).

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

66244569600 is a wasteful number, since it uses less digits than its factorization.

66244569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 66244569600 in words is "sixty-six billion, two hundred forty-four million, five hundred sixty-nine thousand, six hundred".