5753807640 has 384 divisors, whose sum is σ = 22634726400. Its totient is φ = 1239598080.

The previous prime is 5753807629. The next prime is 5753807663. The reversal of 5753807640 is 467083575.

5753807640 is a `hidden beast` number, since 5 + 7 + 538 + 0 + 76 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141525 + ... + 3143355.

It is an arithmetic number, because the mean of its divisors is an integer number (58944600).

Almost surely, 2^5753807640 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 5753807640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317363200).

5753807640 is an abundant number, since it is smaller than the sum of its proper divisors (16880918760).

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

5753807640 is a wasteful number, since it uses less digits than its factorization.

5753807640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5753807640 is about 75853.8571201228. The cubic root of 5753807640 is about 1791.9192962632.

The spelling of 5753807640 in words is "five billion, seven hundred fifty-three million, eight hundred seven thousand, six hundred forty".