4682725920 has 288 divisors, whose sum is σ = 16536985920. Its totient is φ = 1205729280.

The previous prime is 4682725867. The next prime is 4682725967. The reversal of 4682725920 is 295272864.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9536875 + ... + 9537365.

It is an arithmetic number, because the mean of its divisors is an integer number (57420090).

Almost surely, 2^4682725920 is an apocalyptic number.

4682725920 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 4682725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268492960).

4682725920 is an abundant number, since it is smaller than the sum of its proper divisors (11854260000).

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

4682725920 is a wasteful number, since it uses less digits than its factorization.

4682725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4682725920 is about 68430.4458556277. The cubic root of 4682725920 is about 1673.0140175062.

The spelling of 4682725920 in words is "four billion, six hundred eighty-two million, seven hundred twenty-five thousand, nine hundred twenty".