4667725920 has 288 divisors, whose sum is σ = 17372081664. Its totient is φ = 1044326400.

The previous prime is 4667725903. The next prime is 4667725927. The reversal of 4667725920 is 295277664.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4667725920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4667725927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889705 + ... + 894935.

It is an arithmetic number, because the mean of its divisors is an integer number (60319728).

Almost surely, 2^4667725920 is an apocalyptic number.

4667725920 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 4667725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686040832).

4667725920 is an abundant number, since it is smaller than the sum of its proper divisors (12704355744).

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

4667725920 is a wasteful number, since it uses less digits than its factorization.

4667725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 4667725920 is about 68320.7576070406. The cubic root of 4667725920 is about 1671.2257390552.

The spelling of 4667725920 in words is "four billion, six hundred sixty-seven million, seven hundred twenty-five thousand, nine hundred twenty".