1317680000 has 320 divisors, whose sum is σ = 4059575520. Its totient is φ = 414720000.

The previous prime is 1317679997. The next prime is 1317680009. The reversal of 1317680000 is 867131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317680009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7279910 + ... + 7280090.

Almost surely, 2^1317680000 is an apocalyptic number.

1317680000 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 1317680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029787760).

1317680000 is an abundant number, since it is smaller than the sum of its proper divisors (2741895520).

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

1317680000 is an equidigital number, since it uses as much as digits as its factorization.

1317680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1317680000 is about 36299.8622586918. The cubic root of 1317680000 is about 1096.3182694060.

The spelling of 1317680000 in words is "one billion, three hundred seventeen million, six hundred eighty thousand".