5713438464 has 288 divisors, whose sum is σ = 17883855360. Its totient is φ = 1795571712.

The previous prime is 5713438429. The next prime is 5713438469. The reversal of 5713438464 is 4648343175.

5713438464 is a `hidden beast` number, since 57 + 134 + 3 + 8 + 464 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713438469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13194792 + ... + 13195224.

It is an arithmetic number, because the mean of its divisors is an integer number (62096720).

Almost surely, 2^5713438464 is an apocalyptic number.

5713438464 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 5713438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941927680).

5713438464 is an abundant number, since it is smaller than the sum of its proper divisors (12170416896).

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

5713438464 is a wasteful number, since it uses less digits than its factorization.

5713438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5713438464 is about 75587.2903602186. The cubic root of 5713438464 is about 1787.7187071562.

The spelling of 5713438464 in words is "five billion, seven hundred thirteen million, four hundred thirty-eight thousand, four hundred sixty-four".