738394105680 has 640 divisors, whose sum is σ = 3179842191360. Its totient is φ = 153001820160.

The previous prime is 738394105667. The next prime is 738394105703. The reversal of 738394105680 is 86501493837.

738394105680 is a `hidden beast` number, since 7 + 3 + 8 + 39 + 41 + 0 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61033392 + ... + 61045488.

It is an arithmetic number, because the mean of its divisors is an integer number (4968503424).

Almost surely, 2^738394105680 is an apocalyptic number.

738394105680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738394105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589921095680).

738394105680 is an abundant number, since it is smaller than the sum of its proper divisors (2441448085680).

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

738394105680 is a wasteful number, since it uses less digits than its factorization.

738394105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 738394105680 in words is "seven hundred thirty-eight billion, three hundred ninety-four million, one hundred five thousand, six hundred eighty".