1313768736 has 288 divisors, whose sum is σ = 4421813760. Its totient is φ = 362299392.

The previous prime is 1313768713. The next prime is 1313768749. The reversal of 1313768736 is 6378673131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (381024) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1313768691 and 1313768700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11626216 + ... + 11626328.

It is an arithmetic number, because the mean of its divisors is an integer number (15353520).

Almost surely, 2^1313768736 is an apocalyptic number.

1313768736 is a gapful number since it is divisible by the number (16) 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 1313768736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210906880).

1313768736 is an abundant number, since it is smaller than the sum of its proper divisors (3108045024).

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

1313768736 is a wasteful number, since it uses less digits than its factorization.

1313768736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 1313768736 is about 36245.9478562777. The cubic root of 1313768736 is about 1095.2324620617.

The spelling of 1313768736 in words is "one billion, three hundred thirteen million, seven hundred sixty-eight thousand, seven hundred thirty-six".