4678197120 has 448 divisors, whose sum is σ = 17284789440. Its totient is φ = 1209323520.

The previous prime is 4678197101. The next prime is 4678197131. The reversal of 4678197120 is 217918764.

It is a happy number.

4678197120 is a `hidden beast` number, since 467 + 81 + 97 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17262585 + ... + 17262855.

Almost surely, 2^4678197120 is an apocalyptic number.

4678197120 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 4678197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642394720).

4678197120 is an abundant number, since it is smaller than the sum of its proper divisors (12606592320).

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

4678197120 is an equidigital number, since it uses as much as digits as its factorization.

4678197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4678197120 is about 68397.3473169830. The cubic root of 4678197120 is about 1672.4745034220.

The spelling of 4678197120 in words is "four billion, six hundred seventy-eight million, one hundred ninety-seven thousand, one hundred twenty".