738532123374240 has 576 divisors, whose sum is σ = 2801830233646080. Its totient is φ = 175917391626240.

The previous prime is 738532123374239. The next prime is 738532123374247. The reversal of 738532123374240 is 42473321235837.

738532123374240 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 3 + 2 + 1 + 23 + 374 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (738532123374247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13265507044 + ... + 13265562716.

It is an arithmetic number, because the mean of its divisors is an integer number (4864288600080).

Almost surely, 2^{738532123374240} 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 738532123374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400915116823040).

738532123374240 is an abundant number, since it is smaller than the sum of its proper divisors (2063298110271840).

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

738532123374240 is a wasteful number, since it uses less digits than its factorization.

738532123374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78597 (or 78586 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 738532123374240 in words is "seven hundred thirty-eight trillion, five hundred thirty-two billion, one hundred twenty-three million, three hundred seventy-four thousand, two hundred forty".