5729440640 has 384 divisors, whose sum is σ = 18422938080. Its totient is φ = 1679032320.

The previous prime is 5729440627. The next prime is 5729440663. The reversal of 5729440640 is 460449275.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5863832 + ... + 5864808.

Almost surely, 2^5729440640 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 5729440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211469040).

5729440640 is an abundant number, since it is smaller than the sum of its proper divisors (12693497440).

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

5729440640 is a wasteful number, since it uses less digits than its factorization.

5729440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 5729440640 is about 75693.0686390769. The cubic root of 5729440640 is about 1789.3861632324.

The spelling of 5729440640 in words is "five billion, seven hundred twenty-nine million, four hundred forty thousand, six hundred forty".