4268713600 has 192 divisors, whose sum is σ = 11269368000. Its totient is φ = 1592115200.

The previous prime is 4268713573. The next prime is 4268713607. The reversal of 4268713600 is 63178624.

It is a super-3 number, since 3×4268713600³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4268713600.

It is not an unprimeable number, because it can be changed into a prime (4268713607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7126101 + ... + 7126699.

It is an arithmetic number, because the mean of its divisors is an integer number (58694625).

Almost surely, 2^4268713600 is an apocalyptic number.

4268713600 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 4268713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634684000).

4268713600 is an abundant number, since it is smaller than the sum of its proper divisors (7000654400).

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

4268713600 is a wasteful number, since it uses less digits than its factorization.

4268713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4268713600 is about 65335.3931648077. The cubic root of 4268713600 is about 1622.1798628111.

The spelling of 4268713600 in words is "four billion, two hundred sixty-eight million, seven hundred thirteen thousand, six hundred".