738738074880 has 1728 divisors, whose sum is σ = 3068894304000. Its totient is φ = 167029309440.

The previous prime is 738738074873. The next prime is 738738074881. The reversal of 738738074880 is 88470837837.

738738074880 is a `hidden beast` number, since 7 + 3 + 8 + 73 + 80 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738738074881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12520984291 + ... + 12520984349.

It is an arithmetic number, because the mean of its divisors is an integer number (1775980500).

Almost surely, 2^738738074880 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 738738074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534447152000).

738738074880 is an abundant number, since it is smaller than the sum of its proper divisors (2330156229120).

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

738738074880 is a wasteful number, since it uses less digits than its factorization.

738738074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 738738074880 in words is "seven hundred thirty-eight billion, seven hundred thirty-eight million, seventy-four thousand, eight hundred eighty".