1317464640 has 336 divisors, whose sum is σ = 4878506880. Its totient is φ = 325140480.

The previous prime is 1317464563. The next prime is 1317464651. The reversal of 1317464640 is 464647131.

1317464640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 4 + 6 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1317464595 and 1317464604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475971 + ... + 3476349.

Almost surely, 2^1317464640 is an apocalyptic number.

1317464640 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 1317464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439253440).

1317464640 is an abundant number, since it is smaller than the sum of its proper divisors (3561042240).

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

1317464640 is a wasteful number, since it uses less digits than its factorization.

1317464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1317464640 is about 36296.8957350350. The cubic root of 1317464640 is about 1096.2585391816.

The spelling of 1317464640 in words is "one billion, three hundred seventeen million, four hundred sixty-four thousand, six hundred forty".