5837090688 has 640 divisors, whose sum is σ = 21232189440. Its totient is φ = 1567641600.

The previous prime is 5837090687. The next prime is 5837090759. The reversal of 5837090688 is 8860907385.

It is a happy number.

It is a super-3 number, since 3×5837090688³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5837090683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45961281 + ... + 45961407.

It is an arithmetic number, because the mean of its divisors is an integer number (33175296).

Almost surely, 2^5837090688 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 5837090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616094720).

5837090688 is an abundant number, since it is smaller than the sum of its proper divisors (15395098752).

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

5837090688 is a wasteful number, since it uses less digits than its factorization.

5837090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5837090688 is about 76400.8552831708. The cubic root of 5837090688 is about 1800.5235810202.

The spelling of 5837090688 in words is "five billion, eight hundred thirty-seven million, ninety thousand, six hundred eighty-eight".