1359763416 has 128 divisors (see below), whose sum is σ = 4253644800. Its totient is φ = 398736000.

The previous prime is 1359763409. The next prime is 1359763417. The reversal of 1359763416 is 6143679531.

It is a happy number.

1359763416 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 7 + 634 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359763417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64426 + ... + 82886.

It is an arithmetic number, because the mean of its divisors is an integer number (33231600).

Almost surely, 2^1359763416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1359763416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126822400).

1359763416 is an abundant number, since it is smaller than the sum of its proper divisors (2893881384).

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

1359763416 is a wasteful number, since it uses less digits than its factorization.

1359763416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518 (or 18508 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1359763416 is about 36874.9700474455. The cubic root of 1359763416 is about 1107.8674027963.

The spelling of 1359763416 in words is "one billion, three hundred fifty-nine million, seven hundred sixty-three thousand, four hundred sixteen".