6405654528 has 768 divisors, whose sum is σ = 24950016000. Its totient is φ = 1576599552.

The previous prime is 6405654499. The next prime is 6405654529. The reversal of 6405654528 is 8254565046.

6405654528 is a `hidden beast` number, since 6 + 40 + 565 + 45 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (6405654529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95606751 + ... + 95606817.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^6405654528 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 6405654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475008000).

6405654528 is an abundant number, since it is smaller than the sum of its proper divisors (18544361472).

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

6405654528 is a wasteful number, since it uses less digits than its factorization.

6405654528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6405654528 is about 80035.3329973706. The cubic root of 6405654528 is about 1857.1821640325.

The spelling of 6405654528 in words is "six billion, four hundred five million, six hundred fifty-four thousand, five hundred twenty-eight".