5763029040 has 320 divisors, whose sum is σ = 20835809280. Its totient is φ = 1461335040.

The previous prime is 5763029029. The next prime is 5763029059. The reversal of 5763029040 is 409203675.

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 = 5763028986 and 5763029004.

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 63 ways as a sum of consecutive naturals, for example, 15450294 + ... + 15450666.

It is an arithmetic number, because the mean of its divisors is an integer number (65111904).

Almost surely, 2^5763029040 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 5763029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417904640).

5763029040 is an abundant number, since it is smaller than the sum of its proper divisors (15072780240).

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

5763029040 is a wasteful number, since it uses less digits than its factorization.

5763029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5763029040 is about 75914.6167743736. The cubic root of 5763029040 is about 1792.8760647214.

The spelling of 5763029040 in words is "five billion, seven hundred sixty-three million, twenty-nine thousand, forty".