720007038468 has 288 divisors, whose sum is σ = 1986918740352. Its totient is φ = 219005337600.

The previous prime is 720007038467. The next prime is 720007038559. The reversal of 720007038468 is 864830700027.

It is a happy number.

720007038468 is a `hidden beast` number, since 7 + 200 + 0 + 7 + 0 + 384 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (720007038467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041978003 + ... + 1041978693.

It is an arithmetic number, because the mean of its divisors is an integer number (6899023404).

Almost surely, 2^720007038468 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 720007038468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993459370176).

720007038468 is an abundant number, since it is smaller than the sum of its proper divisors (1266911701884).

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

720007038468 is a wasteful number, since it uses less digits than its factorization.

720007038468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1150 counting only the distinct ones).

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

The spelling of 720007038468 in words is "seven hundred twenty billion, seven million, thirty-eight thousand, four hundred sixty-eight".