738114664320 has 320 divisors, whose sum is σ = 2875573934640. Its totient is φ = 178936750080.

The previous prime is 738114664319. The next prime is 738114664381. The reversal of 738114664320 is 23466411837.

738114664320 is a `hidden beast` number, since 73 + 8 + 1 + 146 + 6 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76957 + ... + 1217436.

Almost surely, 2^738114664320 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 738114664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437786967320).

738114664320 is an abundant number, since it is smaller than the sum of its proper divisors (2137459270320).

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

738114664320 is a wasteful number, since it uses less digits than its factorization.

738114664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294435 (or 1294414 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 738114664320 in words is "seven hundred thirty-eight billion, one hundred fourteen million, six hundred sixty-four thousand, three hundred twenty".