6406302564 has 36 divisors (see below), whose sum is σ = 16225949376. Its totient is φ = 2131182768.

The previous prime is 6406302557. The next prime is 6406302569. The reversal of 6406302564 is 4652036046.

6406302564 is a `hidden beast` number, since 64 + 0 + 6 + 30 + 2 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (6406302569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158784 + ... + 194999.

It is an arithmetic number, because the mean of its divisors is an integer number (450720816).

Almost surely, 2^6406302564 is an apocalyptic number.

It is an amenable number.

6406302564 is an abundant number, since it is smaller than the sum of its proper divisors (9819646812).

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

6406302564 is a wasteful number, since it uses less digits than its factorization.

6406302564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354296 (or 354291 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6406302564 is about 80039.3813319418. The cubic root of 6406302564 is about 1857.2447899678.

The spelling of 6406302564 in words is "six billion, four hundred six million, three hundred two thousand, five hundred sixty-four".