74838382080 has 960 divisors, whose sum is σ = 308329908480. Its totient is φ = 15310848000.

The previous prime is 74838382051. The next prime is 74838382081. The reversal of 74838382080 is 8028383847.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74838382081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418091431 + ... + 418091609.

It is an arithmetic number, because the mean of its divisors is an integer number (321176988).

Almost surely, 2^74838382080 is an apocalyptic number.

74838382080 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 74838382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154164954240).

74838382080 is an abundant number, since it is smaller than the sum of its proper divisors (233491526400).

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

74838382080 is a wasteful number, since it uses less digits than its factorization.

74838382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 74838382080 in words is "seventy-four billion, eight hundred thirty-eight million, three hundred eighty-two thousand, eighty".