66312979184880 has 240 divisors, whose sum is σ = 224707232280960. Its totient is φ = 17524213604352.

The previous prime is 66312979184873. The next prime is 66312979184909. The reversal of 66312979184880 is 8848197921366.

66312979184880 is a `hidden beast` number, since 6 + 6 + 3 + 129 + 7 + 9 + 18 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×66312979184880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66312979184799 and 66312979184808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545783497 + ... + 545904983.

It is an arithmetic number, because the mean of its divisors is an integer number (936280134504).

Almost surely, 2^{66312979184880} is an apocalyptic number.

66312979184880 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 66312979184880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112353616140480).

66312979184880 is an abundant number, since it is smaller than the sum of its proper divisors (158394253096080).

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

66312979184880 is a wasteful number, since it uses less digits than its factorization.

66312979184880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128328 (or 128319 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 66312979184880 in words is "sixty-six trillion, three hundred twelve billion, nine hundred seventy-nine million, one hundred eighty-four thousand, eight hundred eighty".