4719820800 has 360 divisors, whose sum is σ = 16382451456. Its totient is φ = 1196687360.

The previous prime is 4719820769. The next prime is 4719820801. The reversal of 4719820800 is 80289174.

It is a super-2 number, since 2×4719820800² = 44553416768225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4719820801) 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, 28262317 + ... + 28262483.

Almost surely, 2^4719820800 is an apocalyptic number.

4719820800 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 4719820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191225728).

4719820800 is an abundant number, since it is smaller than the sum of its proper divisors (11662630656).

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

4719820800 is a wasteful number, since it uses less digits than its factorization.

4719820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 4719820800 is about 68700.9519584700. The cubic root of 4719820800 is about 1677.4200764010.

The spelling of 4719820800 in words is "four billion, seven hundred nineteen million, eight hundred twenty thousand, eight hundred".