66918452160 has 224 divisors, whose sum is σ = 253376289792. Its totient is φ = 14630584320.

The previous prime is 66918452141. The next prime is 66918452177. The reversal of 66918452160 is 6125481966.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61921 + ... + 371040.

Almost surely, 2^66918452160 is an apocalyptic number.

66918452160 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 66918452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688144896).

66918452160 is an abundant number, since it is smaller than the sum of its proper divisors (186457837632).

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

66918452160 is a wasteful number, since it uses less digits than its factorization.

66918452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433011 (or 433001 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 66918452160 in words is "sixty-six billion, nine hundred eighteen million, four hundred fifty-two thousand, one hundred sixty".