738305725824 has 512 divisors, whose sum is σ = 2342455296000. Its totient is φ = 231101724672.

The previous prime is 738305725777. The next prime is 738305725849. The reversal of 738305725824 is 428527503837.

738305725824 is a `hidden beast` number, since 7 + 3 + 8 + 3 + 0 + 57 + 2 + 582 + 4 = 666.

738305725824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675485022 + ... + 675486114.

It is an arithmetic number, because the mean of its divisors is an integer number (4575108000).

Almost surely, 2^738305725824 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 738305725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171227648000).

738305725824 is an abundant number, since it is smaller than the sum of its proper divisors (1604149570176).

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

738305725824 is a wasteful number, since it uses less digits than its factorization.

738305725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 738305725824 in words is "seven hundred thirty-eight billion, three hundred five million, seven hundred twenty-five thousand, eight hundred twenty-four".