73838314080 has 288 divisors, whose sum is σ = 267113718144. Its totient is φ = 18509856768.

The previous prime is 73838314079. The next prime is 73838314087. The reversal of 73838314080 is 8041383837.

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

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73838314087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32483824 + ... + 32486096.

It is an arithmetic number, because the mean of its divisors is an integer number (927478188).

Almost surely, 2^73838314080 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 73838314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133556859072).

73838314080 is an abundant number, since it is smaller than the sum of its proper divisors (193275404064).

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

73838314080 is a wasteful number, since it uses less digits than its factorization.

73838314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 73838314080 in words is "seventy-three billion, eight hundred thirty-eight million, three hundred fourteen thousand, eighty".