66970435200 has 384 divisors, whose sum is σ = 225523958400. Its totient is φ = 17463705600.

The previous prime is 66970435163. The next prime is 66970435229. The reversal of 66970435200 is 253407966.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88002820 + ... + 88003580.

It is an arithmetic number, because the mean of its divisors is an integer number (587301975).

Almost surely, 2^66970435200 is an apocalyptic number.

66970435200 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 66970435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112761979200).

66970435200 is an abundant number, since it is smaller than the sum of its proper divisors (158553523200).

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

66970435200 is a wasteful number, since it uses less digits than its factorization.

66970435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 66970435200 in words is "sixty-six billion, nine hundred seventy million, four hundred thirty-five thousand, two hundred".