4684705920 has 384 divisors, whose sum is σ = 16841260800. Its totient is φ = 1199063040.

The previous prime is 4684705919. The next prime is 4684705939. The reversal of 4684705920 is 295074864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 19601161 + ... + 19601399.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^4684705920 is an apocalyptic number.

4684705920 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 4684705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

4684705920 is an abundant number, since it is smaller than the sum of its proper divisors (12156554880).

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

4684705920 is a wasteful number, since it uses less digits than its factorization.

4684705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

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

The square root of 4684705920 is about 68444.9115712775. The cubic root of 4684705920 is about 1673.2497848090.

The spelling of 4684705920 in words is "four billion, six hundred eighty-four million, seven hundred five thousand, nine hundred twenty".