5835737664 has 105 divisors (see below), whose sum is σ = 17315274361. Its totient is φ = 1943412480.

The previous prime is 5835737597. The next prime is 5835737669. The reversal of 5835737664 is 4667375385.

The square root of 5835737664 is 76392.

It is a perfect power (a square), and thus also a powerful number.

5835737664 is a `hidden beast` number, since 5 + 8 + 3 + 573 + 7 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3843008064 + 1992729600 = 61992^2 + 44640^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5835737664.

It is not an unprimeable number, because it can be changed into a prime (5835737669) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5499694 + ... + 5500754.

Almost surely, 2^5835737664 is an apocalyptic number.

5835737664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5835737664 is the 76392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5835737664

5835737664 is an abundant number, since it is smaller than the sum of its proper divisors (11479536697).

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

5835737664 is an frugal number, since it uses more digits than its factorization.

5835737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1066 counting only the distinct ones).

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

The cubic root of 5835737664 is about 1800.3844512149.

The spelling of 5835737664 in words is "five billion, eight hundred thirty-five million, seven hundred thirty-seven thousand, six hundred sixty-four".