12964838659740 has 2880 divisors, whose sum is σ = 53960009241600. Its totient is φ = 2579711016960.

The previous prime is 12964838659739. The next prime is 12964838659807. The reversal of 12964838659740 is 4795683846921.

12964838659740 is a `hidden beast` number, since 1 + 2 + 96 + 48 + 386 + 59 + 74 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 42230744667 + ... + 42230744973.

It is an arithmetic number, because the mean of its divisors is an integer number (18736114320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12964838659740 = 25929677319480, but 3⋅12964838659740 = 38894515979220 is not.

Almost surely, 2^{12964838659740} is an apocalyptic number.

12964838659740 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 12964838659740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980004620800).

12964838659740 is an abundant number, since it is smaller than the sum of its proper divisors (40995170581860).

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

12964838659740 is a wasteful number, since it uses less digits than its factorization.

12964838659740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 12964838659740 in words is "twelve trillion, nine hundred sixty-four billion, eight hundred thirty-eight million, six hundred fifty-nine thousand, seven hundred forty".