66916951200 has 1296 divisors, whose sum is σ = 285985758240. Its totient is φ = 15116544000.

The previous prime is 66916951187. The next prime is 66916951229. The reversal of 66916951200 is 215961966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1096999170 + ... + 1096999230.

Almost surely, 2^66916951200 is an apocalyptic number.

66916951200 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 66916951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142992879120).

66916951200 is an abundant number, since it is smaller than the sum of its proper divisors (219068807040).

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

66916951200 is a wasteful number, since it uses less digits than its factorization.

66916951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 66916951200 in words is "sixty-six billion, nine hundred sixteen million, nine hundred fifty-one thousand, two hundred".