6564431016 has 288 divisors, whose sum is σ = 21240765000. Its totient is φ = 1819192320.

The previous prime is 6564430997. The next prime is 6564431053. The reversal of 6564431016 is 6101344656.

It is a happy number.

6564431016 is a `hidden beast` number, since 6 + 5 + 644 + 3 + 1 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2251882116 + 4312548900 = 47454^2 + 65670^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16874950 + ... + 16875338.

Almost surely, 2^6564431016 is an apocalyptic number.

6564431016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6564431016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10620382500).

6564431016 is an abundant number, since it is smaller than the sum of its proper divisors (14676333984).

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

6564431016 is a wasteful number, since it uses less digits than its factorization.

6564431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

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

The square root of 6564431016 is about 81021.1763429784. The cubic root of 6564431016 is about 1872.4017122235.

It can be divided in two parts, 6564 and 431016, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 6564431016 in words is "six billion, five hundred sixty-four million, four hundred thirty-one thousand, sixteen".