5813613792 has 288 divisors, whose sum is σ = 19335214080. Its totient is φ = 1622799360.

The previous prime is 5813613781. The next prime is 5813613797. The reversal of 5813613792 is 2973163185.

5813613792 is a `hidden beast` number, since 581 + 3 + 61 + 3 + 7 + 9 + 2 = 666.

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

Its product of digits (272160) is a multiple of the sum of its prime factors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813613797) 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, 27552567 + ... + 27552777.

It is an arithmetic number, because the mean of its divisors is an integer number (67136160).

Almost surely, 2^5813613792 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 5813613792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9667607040).

5813613792 is an abundant number, since it is smaller than the sum of its proper divisors (13521600288).

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

5813613792 is a wasteful number, since it uses less digits than its factorization.

5813613792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 5813613792 is about 76247.0575956869. The cubic root of 5813613792 is about 1798.1064234956.

The spelling of 5813613792 in words is "five billion, eight hundred thirteen million, six hundred thirteen thousand, seven hundred ninety-two".