1276661064960 has 432 divisors, whose sum is σ = 4486630756608. Its totient is φ = 335101132800.

The previous prime is 1276661064923. The next prime is 1276661064967. The reversal of 1276661064960 is 694601666721.

It is a super-3 number, since 3×1276661064960³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1276661064897 and 1276661064906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1276661064967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844910605 + ... + 844912115.

It is an arithmetic number, because the mean of its divisors is an integer number (10385719344).

Almost surely, 2^{1276661064960} is an apocalyptic number.

1276661064960 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 1276661064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243315378304).

1276661064960 is an abundant number, since it is smaller than the sum of its proper divisors (3209969691648).

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

1276661064960 is a wasteful number, since it uses less digits than its factorization.

1276661064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1276661064960 in words is "one trillion, two hundred seventy-six billion, six hundred sixty-one million, sixty-four thousand, nine hundred sixty".