66078265027200 has 384 divisors, whose sum is σ = 221337470400000. Its totient is φ = 17323003146240.

The previous prime is 66078265027199. The next prime is 66078265027207. The reversal of 66078265027200 is 272056287066.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (66078265027207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320853861 + ... + 321059739.

It is an arithmetic number, because the mean of its divisors is an integer number (576399662500).

Almost surely, 2^{66078265027200} is an apocalyptic number.

66078265027200 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 66078265027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110668735200000).

66078265027200 is an abundant number, since it is smaller than the sum of its proper divisors (155259205372800).

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

66078265027200 is a wasteful number, since it uses less digits than its factorization.

66078265027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206472 (or 206455 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 66078265027200 in words is "sixty-six trillion, seventy-eight billion, two hundred sixty-five million, twenty-seven thousand, two hundred".