5783735664 has 400 divisors, whose sum is σ = 20378552832. Its totient is φ = 1547859456.

The previous prime is 5783735663. The next prime is 5783735693. The reversal of 5783735664 is 4665373875.

5783735664 is a `hidden beast` number, since 5 + 7 + 8 + 3 + 73 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5783735664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5783735663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11058507 + ... + 11059029.

Almost surely, 2^5783735664 is an apocalyptic number.

5783735664 is a gapful number since it is divisible by the number (54) 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 5783735664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189276416).

5783735664 is an abundant number, since it is smaller than the sum of its proper divisors (14594817168).

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

5783735664 is a wasteful number, since it uses less digits than its factorization.

5783735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5783735664 is about 76050.8754979192. The cubic root of 5783735664 is about 1795.0207723069.

The spelling of 5783735664 in words is "five billion, seven hundred eighty-three million, seven hundred thirty-five thousand, six hundred sixty-four".