12764195136000 has 6720 divisors, whose sum is σ = 66813546159360. Its totient is φ = 2364899328000.

The previous prime is 12764195135987. The next prime is 12764195136001. The reversal of 12764195136000 is 63159146721.

12764195136000 is a `hidden beast` number, since 1 + 2 + 7 + 64 + 19 + 513 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12764195136001) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 671799743991 + ... + 671799744009.

It is an arithmetic number, because the mean of its divisors is an integer number (9942491988).

Almost surely, 2^{12764195136000} is an apocalyptic number.

12764195136000 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 12764195136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33406773079680).

12764195136000 is an abundant number, since it is smaller than the sum of its proper divisors (54049351023360).

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

12764195136000 is an equidigital number, since it uses as much as digits as its factorization.

12764195136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12764195136000 in words is "twelve trillion, seven hundred sixty-four billion, one hundred ninety-five million, one hundred thirty-six thousand".