1316767596480 has 2240 divisors, whose sum is σ = 5995720507392. Its totient is φ = 267384913920.

The previous prime is 1316767596479. The next prime is 1316767596491. The reversal of 1316767596480 is 846957676131.

1316767596480 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 67 + 5 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1316767596480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4494087214 + ... + 4494087506.

Almost surely, 2^{1316767596480} is an apocalyptic number.

1316767596480 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 1316767596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997860253696).

1316767596480 is an abundant number, since it is smaller than the sum of its proper divisors (4678952910912).

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

1316767596480 is a wasteful number, since it uses less digits than its factorization.

1316767596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1316767596480 in words is "one trillion, three hundred sixteen billion, seven hundred sixty-seven million, five hundred ninety-six thousand, four hundred eighty".