4407879168 has 640 divisors, whose sum is σ = 16828922880. Its totient is φ = 1105920000.

The previous prime is 4407879167. The next prime is 4407879169. The reversal of 4407879168 is 8619787044.

It is a happy number.

4407879168 is a `hidden beast` number, since 4 + 407 + 8 + 79 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (4407879167) and next prime (4407879169).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407879163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43642318 + ... + 43642418.

It is an arithmetic number, because the mean of its divisors is an integer number (26295192).

Almost surely, 2^4407879168 is an apocalyptic number.

4407879168 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 4407879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414461440).

4407879168 is an abundant number, since it is smaller than the sum of its proper divisors (12421043712).

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

4407879168 is a wasteful number, since it uses less digits than its factorization.

4407879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4407879168 is about 66391.8607059630. The cubic root of 4407879168 is about 1639.6200745942.

The spelling of 4407879168 in words is "four billion, four hundred seven million, eight hundred seventy-nine thousand, one hundred sixty-eight".