66901456800 has 108 divisors (see below), whose sum is σ = 235911287430. Its totient is φ = 17840386560.

The previous prime is 66901456799. The next prime is 66901456801. The reversal of 66901456800 is 865410966.

It is an interprime number because it is at equal distance from previous prime (66901456799) and next prime (66901456801).

It can be written as a sum of positive squares in 3 ways, for example, as 26842234896 + 40059221904 = 163836^2 + 200148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66901456801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4638735 + ... + 4653134.

Almost surely, 2^66901456800 is an apocalyptic number.

66901456800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66901456800 is an abundant number, since it is smaller than the sum of its proper divisors (169009830630).

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

66901456800 is a wasteful number, since it uses less digits than its factorization.

66901456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291895 (or 9291879 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66901456800 in words is "sixty-six billion, nine hundred one million, four hundred fifty-six thousand, eight hundred".