7167486564 has 108 divisors (see below), whose sum is σ = 21755854848. Its totient is φ = 1981778400.

The previous prime is 7167486563. The next prime is 7167486577. The reversal of 7167486564 is 4656847617.

7167486564 is a `hidden beast` number, since 7 + 1 + 6 + 74 + 8 + 6 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7167486564.

It is not an unprimeable number, because it can be changed into a prime (7167486563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10852 + ... + 120219.

Almost surely, 2^7167486564 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 7167486564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877927424).

7167486564 is an abundant number, since it is smaller than the sum of its proper divisors (14588368284).

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

7167486564 is a wasteful number, since it uses less digits than its factorization.

7167486564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131126 (or 131114 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 7167486564 is about 84661.0097034048. The cubic root of 7167486564 is about 1928.0677740132.

The spelling of 7167486564 in words is "seven billion, one hundred sixty-seven million, four hundred eighty-six thousand, five hundred sixty-four".