4073768000 has 56 divisors (see below), whose sum is σ = 10088706264. Its totient is φ = 1629504000.

The previous prime is 4073767967. The next prime is 4073768029. The reversal of 4073768000 is 8673704.

It can be written as a sum of positive squares in 4 ways, for example, as 1248632896 + 2825135104 = 35336^2 + 53152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246611 + ... + 262610.

It is an arithmetic number, because the mean of its divisors is an integer number (180155469).

Almost surely, 2^4073768000 is an apocalyptic number.

4073768000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4073768000 is an abundant number, since it is smaller than the sum of its proper divisors (6014938264).

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

4073768000 is an equidigital number, since it uses as much as digits as its factorization.

4073768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509248 (or 509228 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 4073768000 is about 63826.0761758076. The cubic root of 4073768000 is about 1597.0999550964.

The spelling of 4073768000 in words is "four billion, seventy-three million, seven hundred sixty-eight thousand".