720435997824 has 192 divisors, whose sum is σ = 2023826594400. Its totient is φ = 227071102464.

The previous prime is 720435997793. The next prime is 720435997913. The reversal of 720435997824 is 428799534027.

720435997824 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 tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377506427 + ... + 1377506949.

Almost surely, 2^720435997824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720435997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011913297200).

720435997824 is an abundant number, since it is smaller than the sum of its proper divisors (1303390596576).

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

720435997824 is an frugal number, since it uses more digits than its factorization.

720435997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 720435997824 in words is "seven hundred twenty billion, four hundred thirty-five million, nine hundred ninety-seven thousand, eight hundred twenty-four".