720463968 has 144 divisors (see below), whose sum is σ = 2396249856. Its totient is φ = 201035520.

The previous prime is 720463967. The next prime is 720463973. The reversal of 720463968 is 869364027.

720463968 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720463967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82533 + ... + 90843.

It is an arithmetic number, because the mean of its divisors is an integer number (16640624).

Almost surely, 2^720463968 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 720463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198124928).

720463968 is an abundant number, since it is smaller than the sum of its proper divisors (1675785888).

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

720463968 is a wasteful number, since it uses less digits than its factorization.

720463968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 720463968 is about 26841.4598708789. The cubic root of 720463968 is about 896.4734291206.

The spelling of 720463968 in words is "seven hundred twenty million, four hundred sixty-three thousand, nine hundred sixty-eight".