739245120768 has 648 divisors, whose sum is σ = 2835120585024. Its totient is φ = 180708802560.

The previous prime is 739245120767. The next prime is 739245120773. The reversal of 739245120768 is 867021542937.

It is a happy number.

739245120768 is a `hidden beast` number, since 7 + 39 + 24 + 512 + 0 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739245120767) 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 71 ways as a sum of consecutive naturals, for example, 33164155 + ... + 33186437.

It is an arithmetic number, because the mean of its divisors is an integer number (4375186088).

It is a 2-persistent number, because it is pandigital, and so is 2⋅739245120768 = 1478490241536, but 3⋅739245120768 = 2217735362304 is not.

Almost surely, 2^739245120768 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 739245120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417560292512).

739245120768 is an abundant number, since it is smaller than the sum of its proper divisors (2095875464256).

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

739245120768 is a wasteful number, since it uses less digits than its factorization.

739245120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 739245120768 in words is "seven hundred thirty-nine billion, two hundred forty-five million, one hundred twenty thousand, seven hundred sixty-eight".