12076879184640 has 1728 divisors, whose sum is σ = 47220993211392. Its totient is φ = 2833986355200.

The previous prime is 12076879184639. The next prime is 12076879184653. The reversal of 12076879184640 is 4648197867021.

12076879184640 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 6 + 87 + 91 + 8 + 464 + 0 = 666.

It is a super-2 number, since 2×12076879184640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57236394135 + ... + 57236394345.

It is an arithmetic number, because the mean of its divisors is an integer number (27326963664).

Almost surely, 2^{12076879184640} is an apocalyptic number.

12076879184640 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 12076879184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610496605696).

12076879184640 is an abundant number, since it is smaller than the sum of its proper divisors (35144114026752).

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

12076879184640 is a wasteful number, since it uses less digits than its factorization.

12076879184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 12076879184640 in words is "twelve trillion, seventy-six billion, eight hundred seventy-nine million, one hundred eighty-four thousand, six hundred forty".