66802268160 has 480 divisors, whose sum is σ = 245139214320. Its totient is φ = 17390370816.

The previous prime is 66802268081. The next prime is 66802268227. The reversal of 66802268160 is 6186220866.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 39 ways as a sum of consecutive naturals, for example, 35664984 + ... + 35666856.

Almost surely, 2^66802268160 is an apocalyptic number.

66802268160 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 66802268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122569607160).

66802268160 is an abundant number, since it is smaller than the sum of its proper divisors (178336946160).

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

66802268160 is a wasteful number, since it uses less digits than its factorization.

66802268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 66802268160 in words is "sixty-six billion, eight hundred two million, two hundred sixty-eight thousand, one hundred sixty".