66314738880 has 896 divisors, whose sum is σ = 263272584960. Its totient is φ = 15801827328.

The previous prime is 66314738879. The next prime is 66314738929. The reversal of 66314738880 is 8883741366.

66314738880 is a `hidden beast` number, since 66 + 31 + 473 + 8 + 8 + 80 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 336622942 + ... + 336623138.

It is an arithmetic number, because the mean of its divisors is an integer number (293831010).

Almost surely, 2^66314738880 is an apocalyptic number.

66314738880 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 66314738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131636292480).

66314738880 is an abundant number, since it is smaller than the sum of its proper divisors (196957846080).

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

66314738880 is a wasteful number, since it uses less digits than its factorization.

66314738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 66314738880 in words is "sixty-six billion, three hundred fourteen million, seven hundred thirty-eight thousand, eight hundred eighty".