6567472152864 has 216 divisors, whose sum is σ = 21755682224640. Its totient is φ = 1873807955712.

The previous prime is 6567472152853. The next prime is 6567472152991. The reversal of 6567472152864 is 4682512747656.

6567472152864 is a `hidden beast` number, since 6 + 5 + 6 + 7 + 47 + 2 + 1 + 528 + 64 = 666.

It is a super-3 number, since 3×6567472152864³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9822897 + ... + 10470159.

It is an arithmetic number, because the mean of its divisors is an integer number (100720751040).

Almost surely, 2^{6567472152864} 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 6567472152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877841112320).

6567472152864 is an abundant number, since it is smaller than the sum of its proper divisors (15188210071776).

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

6567472152864 is a wasteful number, since it uses less digits than its factorization.

6567472152864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648012 (or 647994 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 6567472152864 in words is "six trillion, five hundred sixty-seven billion, four hundred seventy-two million, one hundred fifty-two thousand, eight hundred sixty-four".