4676901120 has 360 divisors, whose sum is σ = 16976319360. Its totient is φ = 1229230080.

The previous prime is 4676901113. The next prime is 4676901133. The reversal of 4676901120 is 211096764.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190435 + ... + 8191005.

Almost surely, 2^4676901120 is an apocalyptic number.

4676901120 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 4676901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488159680).

4676901120 is an abundant number, since it is smaller than the sum of its proper divisors (12299418240).

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

4676901120 is an equidigital number, since it uses as much as digits as its factorization.

4676901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4676901120 is about 68387.8726091110. The cubic root of 4676901120 is about 1672.3200474005.

Adding to 4676901120 its reverse (211096764), we get a palindrome (4887997884).

The spelling of 4676901120 in words is "four billion, six hundred seventy-six million, nine hundred one thousand, one hundred twenty".