66435956160 has 672 divisors, whose sum is σ = 262188472320. Its totient is φ = 14179737600.

The previous prime is 66435956137. The next prime is 66435956161. The reversal of 66435956160 is 6165953466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66435956161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42288175 + ... + 42289745.

Almost surely, 2^66435956160 is an apocalyptic number.

66435956160 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 66435956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131094236160).

66435956160 is an abundant number, since it is smaller than the sum of its proper divisors (195752516160).

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

66435956160 is a wasteful number, since it uses less digits than its factorization.

66435956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 66435956160 in words is "sixty-six billion, four hundred thirty-five million, nine hundred fifty-six thousand, one hundred sixty".