8122188480 has 448 divisors, whose sum is σ = 30762074112. Its totient is φ = 1776660480.

The previous prime is 8122188479. The next prime is 8122188499. The reversal of 8122188480 is 848812218.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26456487 + ... + 26456793.

It is an arithmetic number, because the mean of its divisors is an integer number (68665344).

Almost surely, 2^8122188480 is an apocalyptic number.

8122188480 is a gapful number since it is divisible by the number (80) 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 8122188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381037056).

8122188480 is an abundant number, since it is smaller than the sum of its proper divisors (22639885632).

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

8122188480 is a wasteful number, since it uses less digits than its factorization.

8122188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 8122188480 is about 90123.1850302684. The cubic root of 8122188480 is about 2010.1309684221.

The spelling of 8122188480 in words is "eight billion, one hundred twenty-two million, one hundred eighty-eight thousand, four hundred eighty".