4267932800 has 96 divisors (see below), whose sum is σ = 10603450800. Its totient is φ = 1697408000.

The previous prime is 4267932677. The next prime is 4267932811. The reversal of 4267932800 is 82397624.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569075 + ... + 576525.

Almost surely, 2^4267932800 is an apocalyptic number.

4267932800 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 4267932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301725400).

4267932800 is an abundant number, since it is smaller than the sum of its proper divisors (6335518000).

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

4267932800 is a wasteful number, since it uses less digits than its factorization.

4267932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4267932800 is about 65329.4175697289. The cubic root of 4267932800 is about 1622.0809512585.

The spelling of 4267932800 in words is "four billion, two hundred sixty-seven million, nine hundred thirty-two thousand, eight hundred".