74073016277064 has 1152 divisors, whose sum is σ = 263196598579200. Its totient is φ = 18647096832000.

The previous prime is 74073016277011. The next prime is 74073016277069. The reversal of 74073016277064 is 46077261037047.

74073016277064 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 3 + 0 + 1 + 627 + 7 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×74073016277064³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74073016277064.

It is not an unprimeable number, because it can be changed into a prime (74073016277069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40454950629 + ... + 40454952459.

It is an arithmetic number, because the mean of its divisors is an integer number (228469269600).

Almost surely, 2^{74073016277064} 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 74073016277064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131598299289600).

74073016277064 is an abundant number, since it is smaller than the sum of its proper divisors (189123582302136).

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

74073016277064 is a wasteful number, since it uses less digits than its factorization.

74073016277064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 74073016277064 in words is "seventy-four trillion, seventy-three billion, sixteen million, two hundred seventy-seven thousand, sixty-four".