12767464120320 has 2688 divisors, whose sum is σ = 57129677789184. Its totient is φ = 2566045827072.

The previous prime is 12767464120303. The next prime is 12767464120321. The reversal of 12767464120320 is 2302146476721.

12767464120320 is a `hidden beast` number, since 1 + 2 + 7 + 67 + 464 + 120 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767464120321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76451880877 + ... + 76451881043.

It is an arithmetic number, because the mean of its divisors is an integer number (21253600368).

Almost surely, 2^{12767464120320} is an apocalyptic number.

12767464120320 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 12767464120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28564838894592).

12767464120320 is an abundant number, since it is smaller than the sum of its proper divisors (44362213668864).

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

12767464120320 is a wasteful number, since it uses less digits than its factorization.

12767464120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12767464120320 in words is "twelve trillion, seven hundred sixty-seven billion, four hundred sixty-four million, one hundred twenty thousand, three hundred twenty".