5705036064 has 720 divisors, whose sum is σ = 22119628608. Its totient is φ = 1404158976.

The previous prime is 5705035913. The next prime is 5705036089. The reversal of 5705036064 is 4606305075.

5705036064 is a `hidden beast` number, since 570 + 50 + 36 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×5705036064² = 65094872983081224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 85149759 + ... + 85149825.

Almost surely, 2^5705036064 is an apocalyptic number.

5705036064 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 5705036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059814304).

5705036064 is an abundant number, since it is smaller than the sum of its proper divisors (16414592544).

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

5705036064 is a wasteful number, since it uses less digits than its factorization.

5705036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5705036064 is about 75531.6891377387. The cubic root of 5705036064 is about 1786.8419148166.

The spelling of 5705036064 in words is "five billion, seven hundred five million, thirty-six thousand, sixty-four".