66216382848000 has 7920 divisors, whose sum is σ = 340778022897312. Its totient is φ = 12634030080000.

The previous prime is 66216382847999. The next prime is 66216382848043. The reversal of 66216382848000 is 84828361266.

66216382848000 is a `hidden beast` number, since 6 + 6 + 21 + 63 + 82 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a super-2 number, since 2×66216382848000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1615033727980 + ... + 1615033728020.

Almost surely, 2^{66216382848000} is an apocalyptic number.

66216382848000 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 66216382848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170389011448656).

66216382848000 is an abundant number, since it is smaller than the sum of its proper divisors (274561640049312).

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

66216382848000 is a wasteful number, since it uses less digits than its factorization.

66216382848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 66216382848000 in words is "sixty-six trillion, two hundred sixteen billion, three hundred eighty-two million, eight hundred forty-eight thousand".