74735320464 has 320 divisors, whose sum is σ = 255483648000. Its totient is φ = 20464980480.

The previous prime is 74735320441. The next prime is 74735320469. The reversal of 74735320464 is 46402353747.

74735320464 is a `hidden beast` number, since 7 + 4 + 73 + 532 + 0 + 46 + 4 = 666.

It is a super-4 number, since 4×74735320464⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (74735320469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12186679 + ... + 12192809.

It is an arithmetic number, because the mean of its divisors is an integer number (798386400).

Almost surely, 2^74735320464 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 74735320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127741824000).

74735320464 is an abundant number, since it is smaller than the sum of its proper divisors (180748327536).

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

74735320464 is a wasteful number, since it uses less digits than its factorization.

74735320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 74735320464 in words is "seventy-four billion, seven hundred thirty-five million, three hundred twenty thousand, four hundred sixty-four".