5729784480 has 576 divisors, whose sum is σ = 23841941760. Its totient is φ = 1272029184.

The previous prime is 5729784479. The next prime is 5729784509. The reversal of 5729784480 is 844879275.

It is a happy number.

5729784480 is a `hidden beast` number, since 5 + 72 + 97 + 8 + 4 + 480 = 666.

It is a super-3 number, since 3×5729784480³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 10069636 + ... + 10070204.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^5729784480 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 5729784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920970880).

5729784480 is an abundant number, since it is smaller than the sum of its proper divisors (18112157280).

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

5729784480 is a wasteful number, since it uses less digits than its factorization.

5729784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 5729784480 is about 75695.3398829809. The cubic root of 5729784480 is about 1789.4219578978.

The spelling of 5729784480 in words is "five billion, seven hundred twenty-nine million, seven hundred eighty-four thousand, four hundred eighty".