5200757640 has 384 divisors, whose sum is σ = 19459440000. Its totient is φ = 1193287680.

The previous prime is 5200757633. The next prime is 5200757663. The reversal of 5200757640 is 467570025.

5200757640 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 7 + 5 + 7 + 640 = 666.

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 = 5200757595 and 5200757604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10422111 + ... + 10422609.

It is an arithmetic number, because the mean of its divisors is an integer number (50675625).

Almost surely, 2^5200757640 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 5200757640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720000).

5200757640 is an abundant number, since it is smaller than the sum of its proper divisors (14258682360).

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

5200757640 is a wasteful number, since it uses less digits than its factorization.

5200757640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5200757640 is about 72116.2786061511. The cubic root of 5200757640 is about 1732.5623472875.

The spelling of 5200757640 in words is "five billion, two hundred million, seven hundred fifty-seven thousand, six hundred forty".