82222006608 has 320 divisors, whose sum is σ = 300623616000. Its totient is φ = 20946180096.

The previous prime is 82222006579. The next prime is 82222006637. The reversal of 82222006608 is 80660022228.

82222006608 is a `hidden beast` number, since 8 + 2 + 22 + 20 + 0 + 6 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (82222006579) and next prime (82222006637).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 934663 + ... + 1018841.

It is an arithmetic number, because the mean of its divisors is an integer number (939448800).

Almost surely, 2^82222006608 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 82222006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150311808000).

82222006608 is an abundant number, since it is smaller than the sum of its proper divisors (218401609392).

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

82222006608 is a wasteful number, since it uses less digits than its factorization.

82222006608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84239 (or 84227 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 82222006608 in words is "eighty-two billion, two hundred twenty-two million, six thousand, six hundred eight".