720824428800 has 1296 divisors, whose sum is σ = 3029883991680. Its totient is φ = 160101826560.

The previous prime is 720824428781. The next prime is 720824428817. The reversal of 720824428800 is 8824428027.

720824428800 is a `hidden beast` number, since 72 + 0 + 82 + 4 + 428 + 80 + 0 = 666.

720824428800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3734841504 + ... + 3734841696.

Almost surely, 2^720824428800 is an apocalyptic number.

720824428800 is a gapful number since it is divisible by the number (70) 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 720824428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514941995840).

720824428800 is an abundant number, since it is smaller than the sum of its proper divisors (2309059562880).

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

720824428800 is a wasteful number, since it uses less digits than its factorization.

720824428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 720824428800 in words is "seven hundred twenty billion, eight hundred twenty-four million, four hundred twenty-eight thousand, eight hundred".