66555648000 has 384 divisors, whose sum is σ = 246073464000. Its totient is φ = 17746329600.

The previous prime is 66555647993. The next prime is 66555648007. The reversal of 66555648000 is 84655566.

It is a happy number.

66555648000 is a `hidden beast` number, since 6 + 6 + 5 + 5 + 564 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66555647993) and next prime (66555648007).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66555648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6907186 + ... + 6916814.

Almost surely, 2^66555648000 is an apocalyptic number.

66555648000 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 66555648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123036732000).

66555648000 is an abundant number, since it is smaller than the sum of its proper divisors (179517816000).

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

66555648000 is an equidigital number, since it uses as much as digits as its factorization.

66555648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 66555648000 in words is "sixty-six billion, five hundred fifty-five million, six hundred forty-eight thousand".