4519720800 has 648 divisors, whose sum is σ = 19380540816. Its totient is φ = 986388480.

The previous prime is 4519720787. The next prime is 4519720837. The reversal of 4519720800 is 80279154.

It is a super-2 number, since 2×4519720800² = 40855752219905280000, which contains 22 as substring.

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

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8114122 + ... + 8114678.

It is an arithmetic number, because the mean of its divisors is an integer number (29908242).

Almost surely, 2^4519720800 is an apocalyptic number.

4519720800 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 4519720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690270408).

4519720800 is an abundant number, since it is smaller than the sum of its proper divisors (14860820016).

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

4519720800 is a wasteful number, since it uses less digits than its factorization.

4519720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4519720800 is about 67228.8687990509. The cubic root of 4519720800 is about 1653.3718376106.

Adding to 4519720800 its reverse (80279154), we get a palindrome (4599999954).

The spelling of 4519720800 in words is "four billion, five hundred nineteen million, seven hundred twenty thousand, eight hundred".