66349708800 has 240 divisors, whose sum is σ = 219524997120. Its totient is φ = 17665597440.

The previous prime is 66349708793. The next prime is 66349708819. The reversal of 66349708800 is 880794366.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39896769 + ... + 39898431.

It is an arithmetic number, because the mean of its divisors is an integer number (914687488).

Almost surely, 2^66349708800 is an apocalyptic number.

66349708800 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 66349708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109762498560).

66349708800 is an abundant number, since it is smaller than the sum of its proper divisors (153175288320).

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

66349708800 is a wasteful number, since it uses less digits than its factorization.

66349708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 66349708800 in words is "sixty-six billion, three hundred forty-nine million, seven hundred eight thousand, eight hundred".