5706361440 has 768 divisors, whose sum is σ = 23471078400. Its totient is φ = 1281982464.

The previous prime is 5706361421. The next prime is 5706361489. The reversal of 5706361440 is 441636075.

It is a happy number.

5706361440 is a `hidden beast` number, since 5 + 7 + 0 + 636 + 14 + 4 + 0 = 666.

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 = 5706361395 and 5706361404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41052891 + ... + 41053029.

It is an arithmetic number, because the mean of its divisors is an integer number (30561300).

Almost surely, 2^5706361440 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 5706361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735539200).

5706361440 is an abundant number, since it is smaller than the sum of its proper divisors (17764716960).

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

5706361440 is a wasteful number, since it uses less digits than its factorization.

5706361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5706361440 is about 75540.4622702297. The cubic root of 5706361440 is about 1786.9802752635.

The spelling of 5706361440 in words is "five billion, seven hundred six million, three hundred sixty-one thousand, four hundred forty".