6452514432 has 480 divisors, whose sum is σ = 24080599620. Its totient is φ = 1700020224.

The previous prime is 6452514403. The next prime is 6452514433. The reversal of 6452514432 is 2344152546.

6452514432 is a `hidden beast` number, since 64 + 52 + 514 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6421778496 + 30735936 = 80136^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6452514433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6603928 + ... + 6604904.

Almost surely, 2^6452514432 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 6452514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040299810).

6452514432 is an abundant number, since it is smaller than the sum of its proper divisors (17628085188).

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

6452514432 is a wasteful number, since it uses less digits than its factorization.

6452514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1002 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 6452514432 is about 80327.5446655753. The cubic root of 6452514432 is about 1861.6998404358.

Adding to 6452514432 its reverse (2344152546), we get a palindrome (8796666978).

The spelling of 6452514432 in words is "six billion, four hundred fifty-two million, five hundred fourteen thousand, four hundred thirty-two".