84167576664 has 128 divisors (see below), whose sum is σ = 225828000000. Its totient is φ = 26061447168.

The previous prime is 84167576659. The next prime is 84167576671. The reversal of 84167576664 is 46667576148.

It is a super-2 number, since 2×84167576664² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84167576598 and 84167576607.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10999912 + ... + 11007560.

It is an arithmetic number, because the mean of its divisors is an integer number (1764281250).

Almost surely, 2^84167576664 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 84167576664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914000000).

84167576664 is an abundant number, since it is smaller than the sum of its proper divisors (141660423336).

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

84167576664 is a wasteful number, since it uses less digits than its factorization.

84167576664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145 (or 8141 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 84167576664 in words is "eighty-four billion, one hundred sixty-seven million, five hundred seventy-six thousand, six hundred sixty-four".