738246320640 has 640 divisors, whose sum is σ = 2731753728000. Its totient is φ = 188767272960.

The previous prime is 738246320629. The next prime is 738246320641. The reversal of 738246320640 is 46023642837.

738246320640 is a `hidden beast` number, since 7 + 3 + 8 + 2 + 4 + 632 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (738246320641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242125836 + ... + 242128884.

It is an arithmetic number, because the mean of its divisors is an integer number (4268365200).

Almost surely, 2^738246320640 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 738246320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365876864000).

738246320640 is an abundant number, since it is smaller than the sum of its proper divisors (1993507407360).

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

738246320640 is a wasteful number, since it uses less digits than its factorization.

738246320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 738246320640 in words is "seven hundred thirty-eight billion, two hundred forty-six million, three hundred twenty thousand, six hundred forty".