4268785920 has 360 divisors, whose sum is σ = 15939079296. Its totient is φ = 973615104.

The previous prime is 4268785909. The next prime is 4268785921. The reversal of 4268785920 is 295878624.

It is a super-3 number, since 3×4268785920³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4268785921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9219609 + ... + 9220071.

Almost surely, 2^4268785920 is an apocalyptic number.

4268785920 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 4268785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969539648).

4268785920 is an abundant number, since it is smaller than the sum of its proper divisors (11670293376).

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

4268785920 is an frugal number, since it uses more digits than its factorization.

4268785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 4268785920 is about 65335.9466144021. The cubic root of 4268785920 is about 1622.1890236807.

The spelling of 4268785920 in words is "four billion, two hundred sixty-eight million, seven hundred eighty-five thousand, nine hundred twenty".