720788630400 has 384 divisors, whose sum is σ = 2793061634400. Its totient is φ = 180903444480.

The previous prime is 720788630399. The next prime is 720788630437. The reversal of 720788630400 is 4036887027.

It is a happy number.

720788630400 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 8 + 8 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223434 + ... + 1714166.

Almost surely, 2^720788630400 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 720788630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396530817200).

720788630400 is an abundant number, since it is smaller than the sum of its proper divisors (2072273004000).

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

720788630400 is a wasteful number, since it uses less digits than its factorization.

720788630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490783 (or 490760 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 720788630400 in words is "seven hundred twenty billion, seven hundred eighty-eight million, six hundred thirty thousand, four hundred".