1270900640064 has 224 divisors, whose sum is σ = 3829542312960. Its totient is φ = 368206643200.

The previous prime is 1270900640033. The next prime is 1270900640081. The reversal of 1270900640064 is 4600460090721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136931104 + ... + 136940384.

It is an arithmetic number, because the mean of its divisors is an integer number (17096171040).

Almost surely, 2^{1270900640064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270900640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914771156480).

1270900640064 is an abundant number, since it is smaller than the sum of its proper divisors (2558641672896).

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

1270900640064 is a wasteful number, since it uses less digits than its factorization.

1270900640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12139 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 1270900640064 in words is "one trillion, two hundred seventy billion, nine hundred million, six hundred forty thousand, sixty-four".