5705036640 has 288 divisors, whose sum is σ = 20220834816. Its totient is φ = 1463178240.

The previous prime is 5705036639. The next prime is 5705036693. The reversal of 5705036640 is 466305075.

5705036640 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 0 + 3 + 6 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 5705036595 and 5705036604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10132999 + ... + 10133561.

It is an arithmetic number, because the mean of its divisors is an integer number (70211232).

Almost surely, 2^5705036640 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 5705036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110417408).

5705036640 is an abundant number, since it is smaller than the sum of its proper divisors (14515798176).

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

5705036640 is a wasteful number, since it uses less digits than its factorization.

5705036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

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

The square root of 5705036640 is about 75531.6929507078. The cubic root of 5705036640 is about 1786.8419749518.

The spelling of 5705036640 in words is "five billion, seven hundred five million, thirty-six thousand, six hundred forty".