6403525632 has 440 divisors, whose sum is σ = 22470164640. Its totient is φ = 1778319360.

The previous prime is 6403525619. The next prime is 6403525637. The reversal of 6403525632 is 2365253046.

6403525632 is a `hidden beast` number, since 6 + 40 + 3 + 52 + 563 + 2 = 666.

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 (6403525637) 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, 23804794 + ... + 23805062.

It is an arithmetic number, because the mean of its divisors is an integer number (51068556).

Almost surely, 2^6403525632 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 6403525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235082320).

6403525632 is an abundant number, since it is smaller than the sum of its proper divisors (16066639008).

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

6403525632 is a wasteful number, since it uses less digits than its factorization.

6403525632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

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

The square root of 6403525632 is about 80022.0321661478. The cubic root of 6403525632 is about 1856.9763986551.

Adding to 6403525632 its reverse (2365253046), we get a palindrome (8768778678).

The spelling of 6403525632 in words is "six billion, four hundred three million, five hundred twenty-five thousand, six hundred thirty-two".