4223279668608 has 1920 divisors, whose sum is σ = 17476310507040. Its totient is φ = 994929868800.

The previous prime is 4223279668591. The next prime is 4223279668631. The reversal of 4223279668608 is 8068669723224.

4223279668608 is a `hidden beast` number, since 4 + 223 + 279 + 66 + 86 + 0 + 8 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4431562660 + ... + 4431563612.

Almost surely, 2^{4223279668608} is an apocalyptic number.

4223279668608 is a gapful number since it is divisible by the number (48) 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 4223279668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738155253520).

4223279668608 is an abundant number, since it is smaller than the sum of its proper divisors (13253030838432).

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

4223279668608 is a wasteful number, since it uses less digits than its factorization.

4223279668608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4223279668608 in words is "four trillion, two hundred twenty-three billion, two hundred seventy-nine million, six hundred sixty-eight thousand, six hundred eight".