66057475680 has 288 divisors, whose sum is σ = 268826148864. Its totient is φ = 14442329088.

The previous prime is 66057475669. The next prime is 66057475699. The reversal of 66057475680 is 8657475066.

66057475680 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 74 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89377 + ... + 374303.

It is an arithmetic number, because the mean of its divisors is an integer number (933424128).

Almost surely, 2^66057475680 is an apocalyptic number.

66057475680 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 66057475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134413074432).

66057475680 is an abundant number, since it is smaller than the sum of its proper divisors (202768673184).

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

66057475680 is a wasteful number, since it uses less digits than its factorization.

66057475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284978 (or 284967 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 66057475680 in words is "sixty-six billion, fifty-seven million, four hundred seventy-five thousand, six hundred eighty".