74074066667172 has 960 divisors, whose sum is σ = 232343185536000. Its totient is φ = 20406238295040.

The previous prime is 74074066667101. The next prime is 74074066667207. The reversal of 74074066667172 is 27176666047047.

It is a super-2 number, since 2×74074066667172² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 201836693733 + ... + 201836694099.

It is an arithmetic number, because the mean of its divisors is an integer number (242024151600).

Almost surely, 2^{74074066667172} 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 74074066667172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116171592768000).

74074066667172 is an abundant number, since it is smaller than the sum of its proper divisors (158269118868828).

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

74074066667172 is a wasteful number, since it uses less digits than its factorization.

74074066667172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 74074066667172 in words is "seventy-four trillion, seventy-four billion, sixty-six million, six hundred sixty-seven thousand, one hundred seventy-two".