5752023840 has 288 divisors, whose sum is σ = 20462682240. Its totient is φ = 1525837824.

The previous prime is 5752023829. The next prime is 5752023841. The reversal of 5752023840 is 483202575.

5752023840 is a `hidden beast` number, since 5 + 75 + 202 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5752023795 and 5752023804.

It is not an unprimeable number, because it can be changed into a prime (5752023841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13102341 + ... + 13102779.

It is an arithmetic number, because the mean of its divisors is an integer number (71050980).

Almost surely, 2^5752023840 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 5752023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231341120).

5752023840 is an abundant number, since it is smaller than the sum of its proper divisors (14710658400).

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

5752023840 is a wasteful number, since it uses less digits than its factorization.

5752023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5752023840 is about 75842.0980722448. The cubic root of 5752023840 is about 1791.7340997107.

The spelling of 5752023840 in words is "five billion, seven hundred fifty-two million, twenty-three thousand, eight hundred forty".