74816503894272 has 288 divisors, whose sum is σ = 238454732759040. Its totient is φ = 20361187123200.

The previous prime is 74816503894271. The next prime is 74816503894337. The reversal of 74816503894272 is 27249830561847.

It is not an unprimeable number, because it can be changed into a prime (74816503894271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28286022 + ... + 30817722.

It is an arithmetic number, because the mean of its divisors is an integer number (827967822080).

It is a 1-persistent number, because it is pandigital, but 2⋅74816503894272 = 149633007788544 is not.

Almost surely, 2^{74816503894272} 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 74816503894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119227366379520).

74816503894272 is an abundant number, since it is smaller than the sum of its proper divisors (163638228864768).

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

74816503894272 is a wasteful number, since it uses less digits than its factorization.

74816503894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531989 (or 2531975 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 74816503894272 in words is "seventy-four trillion, eight hundred sixteen billion, five hundred three million, eight hundred ninety-four thousand, two hundred seventy-two".