4673105920 has 208 divisors, whose sum is σ = 13177418688. Its totient is φ = 1557135360.

The previous prime is 4673105887. The next prime is 4673105947. The reversal of 4673105920 is 295013764.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4673105920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5303880 + ... + 5304760.

Almost surely, 2^4673105920 is an apocalyptic number.

4673105920 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 4673105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588709344).

4673105920 is an abundant number, since it is smaller than the sum of its proper divisors (8504312768).

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

4673105920 is an equidigital number, since it uses as much as digits as its factorization.

4673105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 4673105920 is about 68360.1193679473. The cubic root of 4673105920 is about 1671.8675749611.

The spelling of 4673105920 in words is "four billion, six hundred seventy-three million, one hundred five thousand, nine hundred twenty".