666074596636800 has 1152 divisors, whose sum is σ = 2648523253194000. Its totient is φ = 158259310755840.

The previous prime is 666074596636793. The next prime is 666074596637011. The reversal of 666074596636800 is 8636695470666.

666074596636800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 6820496345664 + 659254100291136 = 2611608^2 + 25675944^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×666074596636800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56557232512 + ... + 56557244288.

Almost surely, 2^{666074596636800} is an apocalyptic number.

666074596636800 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 666074596636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324261626597000).

666074596636800 is an abundant number, since it is smaller than the sum of its proper divisors (1982448656557200).

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

666074596636800 is a wasteful number, since it uses less digits than its factorization.

666074596636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17058 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 666074596636800 in words is "six hundred sixty-six trillion, seventy-four billion, five hundred ninety-six million, six hundred thirty-six thousand, eight hundred".