73820437344 has 288 divisors, whose sum is σ = 232945090560. Its totient is φ = 22926758400.

The previous prime is 73820437279. The next prime is 73820437417. The reversal of 73820437344 is 44373402837.

73820437344 is a `hidden beast` number, since 7 + 38 + 204 + 373 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 73820437344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9008289 + ... + 9016479.

It is an arithmetic number, because the mean of its divisors is an integer number (808837120).

Almost surely, 2^73820437344 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 73820437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116472545280).

73820437344 is an abundant number, since it is smaller than the sum of its proper divisors (159124653216).

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

73820437344 is a wasteful number, since it uses less digits than its factorization.

73820437344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 73820437344 in words is "seventy-three billion, eight hundred twenty million, four hundred thirty-seven thousand, three hundred forty-four".