6567934464 has 640 divisors, whose sum is σ = 25078394880. Its totient is φ = 1649590272.

The previous prime is 6567934463. The next prime is 6567934481. The reversal of 6567934464 is 4644397656.

It is a happy number.

6567934464 is a `hidden beast` number, since 6 + 567 + 9 + 34 + 46 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6567934464.

It is not an unprimeable number, because it can be changed into a prime (6567934463) 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, 28933519 + ... + 28933745.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^6567934464 is an apocalyptic number.

6567934464 is a gapful number since it is divisible by the number (64) 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 6567934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539197440).

6567934464 is an abundant number, since it is smaller than the sum of its proper divisors (18510460416).

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

6567934464 is a wasteful number, since it uses less digits than its factorization.

6567934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 6567934464 is about 81042.7940288339. The cubic root of 6567934464 is about 1872.7347543085.

The spelling of 6567934464 in words is "six billion, five hundred sixty-seven million, nine hundred thirty-four thousand, four hundred sixty-four".