66545062168320 has 576 divisors, whose sum is σ = 241243860695040. Its totient is φ = 17362244616192.

The previous prime is 66545062168231. The next prime is 66545062168331. The reversal of 66545062168320 is 2386126054566.

66545062168320 is a `hidden beast` number, since 6 + 6 + 5 + 4 + 5 + 0 + 621 + 6 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8441587099 + ... + 8441594981.

It is an arithmetic number, because the mean of its divisors is an integer number (418826147040).

Almost surely, 2^{66545062168320} is an apocalyptic number.

66545062168320 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 66545062168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120621930347520).

66545062168320 is an abundant number, since it is smaller than the sum of its proper divisors (174698798526720).

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

66545062168320 is a wasteful number, since it uses less digits than its factorization.

66545062168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 66545062168320 in words is "sixty-six trillion, five hundred forty-five billion, sixty-two million, one hundred sixty-eight thousand, three hundred twenty".