5752088640 has 280 divisors, whose sum is σ = 20555513880. Its totient is φ = 1526833152.

The previous prime is 5752088627. The next prime is 5752088677. The reversal of 5752088640 is 468802575.

5752088640 is a `hidden beast` number, since 5 + 7 + 520 + 8 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316270656 + 5435817984 = 17784^2 + 73728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8112606 + ... + 8113314.

Almost surely, 2^5752088640 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 5752088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277756940).

5752088640 is an abundant number, since it is smaller than the sum of its proper divisors (14803425240).

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

5752088640 is a wasteful number, since it uses less digits than its factorization.

5752088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5752088640 is about 75842.5252744132. The cubic root of 5752088640 is about 1791.7408280053.

The spelling of 5752088640 in words is "five billion, seven hundred fifty-two million, eighty-eight thousand, six hundred forty".