4680473952 has 384 divisors, whose sum is σ = 15977364480. Its totient is φ = 1164533760.

The previous prime is 4680473911. The next prime is 4680473981. The reversal of 4680473952 is 2593740864.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 29811858 + ... + 29812014.

It is an arithmetic number, because the mean of its divisors is an integer number (41607720).

Almost surely, 2^4680473952 is an apocalyptic number.

4680473952 is a gapful number since it is divisible by the number (42) 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 4680473952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988682240).

4680473952 is an abundant number, since it is smaller than the sum of its proper divisors (11296890528).

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

4680473952 is a wasteful number, since it uses less digits than its factorization.

4680473952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 4680473952 is about 68413.9894466037. The cubic root of 4680473952 is about 1672.7457849844.

The spelling of 4680473952 in words is "four billion, six hundred eighty million, four hundred seventy-three thousand, nine hundred fifty-two".