66543870960 has 480 divisors, whose sum is σ = 265248023040. Its totient is φ = 14627837952.

The previous prime is 66543870923. The next prime is 66543870977. The reversal of 66543870960 is 6907834566.

66543870960 is a `hidden beast` number, since 6 + 6 + 543 + 8 + 7 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×66543870960² (a number of 22 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 66543870897 and 66543870906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44870379 + ... + 44871861.

It is an arithmetic number, because the mean of its divisors is an integer number (552600048).

Almost surely, 2^66543870960 is an apocalyptic number.

66543870960 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 66543870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132624011520).

66543870960 is an abundant number, since it is smaller than the sum of its proper divisors (198704152080).

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

66543870960 is a wasteful number, since it uses less digits than its factorization.

66543870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 66543870960 in words is "sixty-six billion, five hundred forty-three million, eight hundred seventy thousand, nine hundred sixty".