66934555200 has 672 divisors, whose sum is σ = 254306263040. Its totient is φ = 17107200000.

The previous prime is 66934555189. The next prime is 66934555223. The reversal of 66934555200 is 255543966.

66934555200 is a `hidden beast` number, since 6 + 6 + 93 + 4 + 5 + 552 + 0 + 0 = 666.

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

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, 202219035 + ... + 202219365.

Almost surely, 2^66934555200 is an apocalyptic number.

66934555200 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 66934555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153131520).

66934555200 is an abundant number, since it is smaller than the sum of its proper divisors (187371707840).

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

66934555200 is a wasteful number, since it uses less digits than its factorization.

66934555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 66934555200 in words is "sixty-six billion, nine hundred thirty-four million, five hundred fifty-five thousand, two hundred".