5235632640 has 400 divisors, whose sum is σ = 21437235072. Its totient is φ = 1196384256.

The previous prime is 5235632639. The next prime is 5235632641. The reversal of 5235632640 is 462365325.

5235632640 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 6 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5235632639) and next prime (5235632641).

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 = 5235632595 and 5235632604.

It is not an unprimeable number, because it can be changed into a prime (5235632641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1449717 + ... + 1453323.

Almost surely, 2^5235632640 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 5235632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718617536).

5235632640 is an abundant number, since it is smaller than the sum of its proper divisors (16201602432).

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

5235632640 is an equidigital number, since it uses as much as digits as its factorization.

5235632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5235632640 is about 72357.6716043296. The cubic root of 5235632640 is about 1736.4264350556.

Adding to 5235632640 its reverse (462365325), we get a palindrome (5697997965).

The spelling of 5235632640 in words is "five billion, two hundred thirty-five million, six hundred thirty-two thousand, six hundred forty".