4935168000 has 1040 divisors, whose sum is σ = 22264317504. Its totient is φ = 1061683200.

The previous prime is 4935167971. The next prime is 4935168019. The reversal of 4935168000 is 8615394.

4935168000 is a `hidden beast` number, since 493 + 5 + 168 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290303992 + ... + 290304008.

Almost surely, 2^4935168000 is an apocalyptic number.

4935168000 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 4935168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132158752).

4935168000 is an abundant number, since it is smaller than the sum of its proper divisors (17329149504).

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

4935168000 is an equidigital number, since it uses as much as digits as its factorization.

4935168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4935168000 is about 70250.7508856667. The cubic root of 4935168000 is about 1702.5530267402.

The spelling of 4935168000 in words is "four billion, nine hundred thirty-five million, one hundred sixty-eight thousand".