4457068000 has 384 divisors, whose sum is σ = 14152320000. Its totient is φ = 1338624000.

The previous prime is 4457067983. The next prime is 4457068037. The reversal of 4457068000 is 8607544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8931751 + ... + 8932249.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 2^4457068000 is an apocalyptic number.

4457068000 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 4457068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

4457068000 is an abundant number, since it is smaller than the sum of its proper divisors (9695252000).

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

4457068000 is a wasteful number, since it uses less digits than its factorization.

4457068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4457068000 is about 66761.2762011033. The cubic root of 4457068000 is about 1645.6965297104.

The spelling of 4457068000 in words is "four billion, four hundred fifty-seven million, sixty-eight thousand".