74693142000 has 240 divisors, whose sum is σ = 274609938720. Its totient is φ = 18869760000.

The previous prime is 74693141993. The next prime is 74693142001. The reversal of 74693142000 is 24139647.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74693142001) 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 47 ways as a sum of consecutive naturals, for example, 232800 + ... + 451200.

It is an arithmetic number, because the mean of its divisors is an integer number (1144208078).

Almost surely, 2^74693142000 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 74693142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137304969360).

74693142000 is an abundant number, since it is smaller than the sum of its proper divisors (199916796720).

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

74693142000 is a wasteful number, since it uses less digits than its factorization.

74693142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218449 (or 218430 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 74693142000 in words is "seventy-four billion, six hundred ninety-three million, one hundred forty-two thousand".