6429564 has 48 divisors (see below), whose sum is σ = 17130400. Its totient is φ = 2083968.

The previous prime is 6429557. The next prime is 6429571. The reversal of 6429564 is 4659246.

6429564 is a `hidden beast` number, since 642 + 9 + 5 + 6 + 4 = 666.

6429564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6429557) and next prime (6429571).

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

It is a d-powerful number, because it can be written as 6 + 4³ + 2¹¹ + 9² + 5⁹ + 6⁷ + 4¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3192 + ... + 4800.

Almost surely, 2^6429564 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 6429564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565200).

6429564 is an abundant number, since it is smaller than the sum of its proper divisors (10700836).

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

6429564 is a wasteful number, since it uses less digits than its factorization.

6429564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 6429564 is about 2535.6584943561. The cubic root of 6429564 is about 185.9489974624.

The spelling of 6429564 in words is "six million, four hundred twenty-nine thousand, five hundred sixty-four".