5754661920 has 576 divisors, whose sum is σ = 23398502400. Its totient is φ = 1287014400.

The previous prime is 5754661897. The next prime is 5754661933. The reversal of 5754661920 is 291664575.

5754661920 is a `hidden beast` number, since 5 + 7 + 5 + 4 + 6 + 619 + 20 = 666.

It is a super-2 number, since 2×5754661920² = 66232267626996172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 30129025 + ... + 30129215.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^5754661920 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 5754661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

5754661920 is an abundant number, since it is smaller than the sum of its proper divisors (17643840480).

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

5754661920 is a wasteful number, since it uses less digits than its factorization.

5754661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5754661920 is about 75859.4880024905. The cubic root of 5754661920 is about 1792.0079752249.

The spelling of 5754661920 in words is "five billion, seven hundred fifty-four million, six hundred sixty-one thousand, nine hundred twenty".