4267600000 has 192 divisors, whose sum is σ = 10900552320. Its totient is φ = 1663360000.

The previous prime is 4267599991. The next prime is 4267600019. The reversal of 4267600000 is 67624.

4267600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18799887 + ... + 18800113.

It is an arithmetic number, because the mean of its divisors is an integer number (56773710).

Almost surely, 2^4267600000 is an apocalyptic number.

4267600000 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 4267600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450276160).

4267600000 is an abundant number, since it is smaller than the sum of its proper divisors (6632952320).

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

4267600000 is an frugal number, since it uses more digits than its factorization.

4267600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4267600000 is about 65326.8704286376. The cubic root of 4267600000 is about 1622.0387885693.

Adding to 4267600000 its reverse (67624), we get a palindrome (4267667624).

The spelling of 4267600000 in words is "four billion, two hundred sixty-seven million, six hundred thousand".