8572167281664 has 264 divisors, whose sum is σ = 28293397661568. Its totient is φ = 2448718110720.

The previous prime is 8572167281659. The next prime is 8572167281701. The reversal of 8572167281664 is 4661827612758.

8572167281664 is a `hidden beast` number, since 85 + 7 + 216 + 7 + 281 + 6 + 64 = 666.

It is a super-2 number, since 2×8572167281664² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465186819 + ... + 465205245.

Almost surely, 2^{8572167281664} is an apocalyptic number.

8572167281664 is a gapful number since it is divisible by the number (84) 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 8572167281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146698830784).

8572167281664 is an abundant number, since it is smaller than the sum of its proper divisors (19721230379904).

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

8572167281664 is a wasteful number, since it uses less digits than its factorization.

8572167281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25671 (or 25650 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 8572167281664 in words is "eight trillion, five hundred seventy-two billion, one hundred sixty-seven million, two hundred eighty-one thousand, six hundred sixty-four".