6405953652 has 216 divisors, whose sum is σ = 20140166592. Its totient is φ = 1707552000.

The previous prime is 6405953647. The next prime is 6405953663. The reversal of 6405953652 is 2563595046.

6405953652 is a `hidden beast` number, since 6 + 4 + 0 + 595 + 3 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6405953598 and 6405953607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1661527 + ... + 1665377.

It is an arithmetic number, because the mean of its divisors is an integer number (93241512).

Almost surely, 2^6405953652 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 6405953652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10070083296).

6405953652 is an abundant number, since it is smaller than the sum of its proper divisors (13734212940).

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

6405953652 is a wasteful number, since it uses less digits than its factorization.

6405953652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 6405953652 is about 80037.2016752210. The cubic root of 6405953652 is about 1857.2110717790.

It can be divided in two parts, 64059 and 53652, that added together give a palindrome (117711).

The spelling of 6405953652 in words is "six billion, four hundred five million, nine hundred fifty-three thousand, six hundred fifty-two".