66755261664000 has 1728 divisors, whose sum is σ = 298266288622848. Its totient is φ = 13959364608000.

The previous prime is 66755261663969. The next prime is 66755261664031. The reversal of 66755261664000 is 46616255766.

66755261664000 is a `hidden beast` number, since 6 + 6 + 7 + 55 + 26 + 166 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66755261663969) and next prime (66755261664031).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2961492730 + ... + 2961515270.

It is an arithmetic number, because the mean of its divisors is an integer number (172607805916).

Almost surely, 2^{66755261664000} is an apocalyptic number.

66755261664000 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 66755261664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149133144311424).

66755261664000 is an abundant number, since it is smaller than the sum of its proper divisors (231511026958848).

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

66755261664000 is a wasteful number, since it uses less digits than its factorization.

66755261664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22711 (or 22684 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 66755261664000 in words is "sixty-six trillion, seven hundred fifty-five billion, two hundred sixty-one million, six hundred sixty-four thousand".