738803988576 has 168 divisors, whose sum is σ = 2202381849024. Its totient is φ = 243828921600.

The previous prime is 738803988563. The next prime is 738803988623. The reversal of 738803988576 is 675889308837.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 2199345 + ... + 2512911.

It is an arithmetic number, because the mean of its divisors is an integer number (13109415768).

Almost surely, 2^738803988576 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 738803988576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101190924512).

738803988576 is an abundant number, since it is smaller than the sum of its proper divisors (1463577860448).

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

738803988576 is a wasteful number, since it uses less digits than its factorization.

738803988576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313696 (or 313673 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 738803988576 in words is "seven hundred thirty-eight billion, eight hundred three million, nine hundred eighty-eight thousand, five hundred seventy-six".