5167122640 has 80 divisors (see below), whose sum is σ = 12293856000. Its totient is φ = 2018971136.

The previous prime is 5167122607. The next prime is 5167122643. The reversal of 5167122640 is 462217615.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5167122596 and 5167122605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167122643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010811 + ... + 1015909.

It is an arithmetic number, because the mean of its divisors is an integer number (153673200).

Almost surely, 2^5167122640 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 5167122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146928000).

5167122640 is an abundant number, since it is smaller than the sum of its proper divisors (7126733360).

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

5167122640 is a wasteful number, since it uses less digits than its factorization.

5167122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 5167122640 is about 71882.7005614007. The cubic root of 5167122640 is about 1728.8192506609.

The spelling of 5167122640 in words is "five billion, one hundred sixty-seven million, one hundred twenty-two thousand, six hundred forty".