12767663148240 has 2560 divisors, whose sum is σ = 59711538216960. Its totient is φ = 2165833728000.

The previous prime is 12767663148211. The next prime is 12767663148241. The reversal of 12767663148240 is 4284136676721.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12767663148241) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10630859640 + ... + 10630860840.

It is an arithmetic number, because the mean of its divisors is an integer number (23324819616).

Almost surely, 2^{12767663148240} is an apocalyptic number.

12767663148240 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 12767663148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855769108480).

12767663148240 is an abundant number, since it is smaller than the sum of its proper divisors (46943875068720).

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

12767663148240 is a wasteful number, since it uses less digits than its factorization.

12767663148240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

It can be divided in two parts, 12767663 and 148240, that added together give a triangular number (12915903 = T₅₀₈₂).

The spelling of 12767663148240 in words is "twelve trillion, seven hundred sixty-seven billion, six hundred sixty-three million, one hundred forty-eight thousand, two hundred forty".