4785792000 has 528 divisors, whose sum is σ = 17668000896. Its totient is φ = 1148928000.

The previous prime is 4785791947. The next prime is 4785792001. The reversal of 4785792000 is 2975874.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (4785792001) 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, 46463949 + ... + 46464051.

Almost surely, 2^4785792000 is an apocalyptic number.

4785792000 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 4785792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834000448).

4785792000 is an abundant number, since it is smaller than the sum of its proper divisors (12882208896).

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

4785792000 is a wasteful number, since it uses less digits than its factorization.

4785792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 4785792000 is about 69179.4189047581. The cubic root of 4785792000 is about 1685.1993119227.

The spelling of 4785792000 in words is "four billion, seven hundred eighty-five million, seven hundred ninety-two thousand".