12964864273920 has 960 divisors, whose sum is σ = 51410750751360. Its totient is φ = 2994916294656.

The previous prime is 12964864273919. The next prime is 12964864273957. The reversal of 12964864273920 is 2937246846921.

12964864273920 is a `hidden beast` number, since 1 + 2 + 96 + 486 + 42 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365097126 + ... + 365132634.

It is an arithmetic number, because the mean of its divisors is an integer number (53552865366).

Almost surely, 2^{12964864273920} is an apocalyptic number.

12964864273920 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 12964864273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25705375375680).

12964864273920 is an abundant number, since it is smaller than the sum of its proper divisors (38445886477440).

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

12964864273920 is a wasteful number, since it uses less digits than its factorization.

12964864273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35627 (or 35608 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 12964864273920 in words is "twelve trillion, nine hundred sixty-four billion, eight hundred sixty-four million, two hundred seventy-three thousand, nine hundred twenty".