66149559820800 has 360 divisors, whose sum is σ = 236769153981360. Its totient is φ = 17637040742400.

The previous prime is 66149559820783. The next prime is 66149559820807. The reversal of 66149559820800 is 802895594166.

66149559820800 is a `hidden beast` number, since 6 + 6 + 14 + 9 + 5 + 598 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×66149559820800² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66149559820807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770760291 + ... + 770846109.

Almost surely, 2^{66149559820800} is an apocalyptic number.

66149559820800 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 66149559820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118384576990680).

66149559820800 is an abundant number, since it is smaller than the sum of its proper divisors (170619594160560).

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

66149559820800 is a wasteful number, since it uses less digits than its factorization.

66149559820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92544 (or 92520 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 66149559820800 in words is "sixty-six trillion, one hundred forty-nine billion, five hundred fifty-nine million, eight hundred twenty thousand, eight hundred".