4920804000 has 768 divisors, whose sum is σ = 21436047360. Its totient is φ = 1072051200.

The previous prime is 4920803971. The next prime is 4920804041. The reversal of 4920804000 is 4080294.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17387859 + ... + 17388141.

It is an arithmetic number, because the mean of its divisors is an integer number (27911520).

Almost surely, 2^4920804000 is an apocalyptic number.

4920804000 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 4920804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718023680).

4920804000 is an abundant number, since it is smaller than the sum of its proper divisors (16515243360).

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

4920804000 is a wasteful number, since it uses less digits than its factorization.

4920804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4920804000 is about 70148.4426056630. The cubic root of 4920804000 is about 1700.8996391677.

Adding to 4920804000 its reverse (4080294), we get a palindrome (4924884294).

The spelling of 4920804000 in words is "four billion, nine hundred twenty million, eight hundred four thousand".