5675785344 has 320 divisors, whose sum is σ = 17920584000. Its totient is φ = 1780144128.

The previous prime is 5675785327. The next prime is 5675785399. The reversal of 5675785344 is 4435875765.

5675785344 is a `hidden beast` number, since 5 + 67 + 578 + 5 + 3 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12928677 + ... + 12929115.

It is an arithmetic number, because the mean of its divisors is an integer number (56001825).

Almost surely, 2^5675785344 is an apocalyptic number.

5675785344 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 5675785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960292000).

5675785344 is an abundant number, since it is smaller than the sum of its proper divisors (12244798656).

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

5675785344 is a wasteful number, since it uses less digits than its factorization.

5675785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The square root of 5675785344 is about 75337.8081974781. The cubic root of 5675785344 is about 1783.7828635028.

The spelling of 5675785344 in words is "five billion, six hundred seventy-five million, seven hundred eighty-five thousand, three hundred forty-four".