5838816672 has 288 divisors, whose sum is σ = 18576846288. Its totient is φ = 1727889408.

The previous prime is 5838816671. The next prime is 5838816673. The reversal of 5838816672 is 2766188385.

It is an interprime number because it is at equal distance from previous prime (5838816671) and next prime (5838816673).

It can be written as a sum of positive squares in 8 ways, for example, as 1408050576 + 4430766096 = 37524^2 + 66564^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5838816671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15653478 + ... + 15653850.

Almost surely, 2^5838816672 is an apocalyptic number.

5838816672 is a gapful number since it is divisible by the number (52) 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 5838816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288423144).

5838816672 is an abundant number, since it is smaller than the sum of its proper divisors (12738029616).

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

5838816672 is a wasteful number, since it uses less digits than its factorization.

5838816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5838816672 is about 76412.1500286440. The cubic root of 5838816672 is about 1800.7010306438.

The spelling of 5838816672 in words is "five billion, eight hundred thirty-eight million, eight hundred sixteen thousand, six hundred seventy-two".