66279182860800 has 7200 divisors, whose sum is σ = 337998793942656. Its totient is φ = 12440803737600.

The previous prime is 66279182860771. The next prime is 66279182860853. The reversal of 66279182860800 is 806828197266.

66279182860800 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 9 + 18 + 2 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1541376345579 + ... + 1541376345621.

Almost surely, 2^{66279182860800} is an apocalyptic number.

66279182860800 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 66279182860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168999396971328).

66279182860800 is an abundant number, since it is smaller than the sum of its proper divisors (271719611081856).

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

66279182860800 is a wasteful number, since it uses less digits than its factorization.

66279182860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 66279182860800 in words is "sixty-six trillion, two hundred seventy-nine billion, one hundred eighty-two million, eight hundred sixty thousand, eight hundred".