4672847256 has 512 divisors, whose sum is σ = 16721510400. Its totient is φ = 1050255360.

The previous prime is 4672847243. The next prime is 4672847293. The reversal of 4672847256 is 6527482764.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (4515840) is a multiple of the sum of its prime divisors (315).

It is a junction number, because it is equal to n+sod(n) for n = 4672847199 and 4672847208.

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 127 ways as a sum of consecutive naturals, for example, 20954361 + ... + 20954583.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 2^4672847256 is an apocalyptic number.

4672847256 is a gapful number since it is divisible by the number (46) 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 4672847256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360755200).

4672847256 is an abundant number, since it is smaller than the sum of its proper divisors (12048663144).

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

4672847256 is a wasteful number, since it uses less digits than its factorization.

4672847256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The square root of 4672847256 is about 68358.2274199675. The cubic root of 4672847256 is about 1671.8367275303.

The spelling of 4672847256 in words is "four billion, six hundred seventy-two million, eight hundred forty-seven thousand, two hundred fifty-six".