4279620800 has 756 divisors, whose sum is σ = 14784064920. Its totient is φ = 1207664640.

The previous prime is 4279620739. The next prime is 4279620809. The reversal of 4279620800 is 80269724.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279620809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 225243191 + ... + 225243209.

Almost surely, 2^4279620800 is an apocalyptic number.

4279620800 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 4279620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392032460).

4279620800 is an abundant number, since it is smaller than the sum of its proper divisors (10504444120).

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

4279620800 is a wasteful number, since it uses less digits than its factorization.

4279620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4279620800 is about 65418.8107504256. The cubic root of 4279620800 is about 1623.5603248909.

The spelling of 4279620800 in words is "four billion, two hundred seventy-nine million, six hundred twenty thousand, eight hundred".