4267468800 has 864 divisors, whose sum is σ = 18483192000. Its totient is φ = 975421440.

The previous prime is 4267468789. The next prime is 4267468801. The reversal of 4267468800 is 88647624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4267468800² = 36422579917946880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4267468801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609638397 + ... + 609638403.

Almost surely, 2^4267468800 is an apocalyptic number.

4267468800 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 4267468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596000).

4267468800 is an abundant number, since it is smaller than the sum of its proper divisors (14215723200).

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

4267468800 is an frugal number, since it uses more digits than its factorization.

4267468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4267468800 is about 65325.8662399512. The cubic root of 4267468800 is about 1622.0221661375.

The spelling of 4267468800 in words is "four billion, two hundred sixty-seven million, four hundred sixty-eight thousand, eight hundred".