74146790016 has 512 divisors, whose sum is σ = 245661696000. Its totient is φ = 21862379520.

The previous prime is 74146789993. The next prime is 74146790021. The reversal of 74146790016 is 61009764147.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193594561 + ... + 193594943.

It is an arithmetic number, because the mean of its divisors is an integer number (479808000).

Almost surely, 2^74146790016 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 74146790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122830848000).

74146790016 is an abundant number, since it is smaller than the sum of its proper divisors (171514905984).

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

74146790016 is a wasteful number, since it uses less digits than its factorization.

74146790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 74146790016 in words is "seventy-four billion, one hundred forty-six million, seven hundred ninety thousand, sixteen".