4168946880 has 896 divisors, whose sum is σ = 18235330560. Its totient is φ = 886837248.

The previous prime is 4168946861. The next prime is 4168946891. The reversal of 4168946880 is 886498614.

4168946880 is a `hidden beast` number, since 41 + 68 + 9 + 468 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112674222 + ... + 112674258.

Almost surely, 2^4168946880 is an apocalyptic number.

4168946880 is a gapful number since it is divisible by the number (40) 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 4168946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117665280).

4168946880 is an abundant number, since it is smaller than the sum of its proper divisors (14066383680).

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

4168946880 is an equidigital number, since it uses as much as digits as its factorization.

4168946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4168946880 is about 64567.3824775327. The cubic root of 4168946880 is about 1609.4424570487.

The spelling of 4168946880 in words is "four billion, one hundred sixty-eight million, nine hundred forty-six thousand, eight hundred eighty".