1312637736960 has 1920 divisors, whose sum is σ = 5484059380800. Its totient is φ = 299748556800.

The previous prime is 1312637736929. The next prime is 1312637737013. The reversal of 1312637736960 is 696377362131.

It is a happy number.

1312637736960 is a `hidden beast` number, since 13 + 1 + 263 + 7 + 7 + 369 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1312637736897 and 1312637736906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32015554540 + ... + 32015554580.

Almost surely, 2^{1312637736960} is an apocalyptic number.

1312637736960 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 1312637736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742029690400).

1312637736960 is an abundant number, since it is smaller than the sum of its proper divisors (4171421643840).

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

1312637736960 is an equidigital number, since it uses as much as digits as its factorization.

1312637736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 1312637736960 in words is "one trillion, three hundred twelve billion, six hundred thirty-seven million, seven hundred thirty-six thousand, nine hundred sixty".