66873960000 has 315 divisors, whose sum is σ = 240083026183. Its totient is φ = 17791680000.

The previous prime is 66873959987. The next prime is 66873960007. The reversal of 66873960000 is 6937866.

The square root of 66873960000 is 258600.

It is a perfect power (a square), and thus also a powerful number.

66873960000 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 39 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5242918464 + 61631041536 = 72408^2 + 248256^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66873960007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 155159785 + ... + 155160215.

Almost surely, 2^66873960000 is an apocalyptic number.

66873960000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66873960000 is the 258600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66873960000

66873960000 is an abundant number, since it is smaller than the sum of its proper divisors (173209066183).

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

66873960000 is an frugal number, since it uses more digits than its factorization.

66873960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 66873960000 in words is "sixty-six billion, eight hundred seventy-three million, nine hundred sixty thousand".