12664382761620 has 576 divisors, whose sum is σ = 41964239116800. Its totient is φ = 3079098925056.

The previous prime is 12664382761573. The next prime is 12664382761631. The reversal of 12664382761620 is 2616728346621.

12664382761620 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 4 + 3 + 8 + 2 + 7 + 6 + 1 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11337853302 + ... + 11337854418.

It is an arithmetic number, because the mean of its divisors is an integer number (72854581800).

Almost surely, 2^{12664382761620} is an apocalyptic number.

12664382761620 is a gapful number since it is divisible by the number (10) 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 12664382761620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982119558400).

12664382761620 is an abundant number, since it is smaller than the sum of its proper divisors (29299856355180).

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

12664382761620 is a wasteful number, since it uses less digits than its factorization.

12664382761620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12664382761620 in words is "twelve trillion, six hundred sixty-four billion, three hundred eighty-two million, seven hundred sixty-one thousand, six hundred twenty".