4268920320 has 800 divisors, whose sum is σ = 18609041088. Its totient is φ = 913047552.

The previous prime is 4268920309. The next prime is 4268920349. The reversal of 4268920320 is 230298624.

4268920320 is a `hidden beast` number, since 426 + 8 + 9 + 203 + 20 = 666.

It is a super-3 number, since 3×4268920320³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24675754 + ... + 24675926.

Almost surely, 2^4268920320 is an apocalyptic number.

4268920320 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 4268920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304520544).

4268920320 is an abundant number, since it is smaller than the sum of its proper divisors (14340120768).

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

4268920320 is a wasteful number, since it uses less digits than its factorization.

4268920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4268920320 is about 65336.9751365947. The cubic root of 4268920320 is about 1622.2060480307.

The spelling of 4268920320 in words is "four billion, two hundred sixty-eight million, nine hundred twenty thousand, three hundred twenty".