74292083712 has 352 divisors, whose sum is σ = 274315031040. Its totient is φ = 19296092160.

The previous prime is 74292083689. The next prime is 74292083713. The reversal of 74292083712 is 21738029247.

74292083712 is a `hidden beast` number, since 7 + 429 + 208 + 3 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74292083713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111448 + ... + 2146344.

Almost surely, 2^74292083712 is an apocalyptic number.

74292083712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74292083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137157515520).

74292083712 is an abundant number, since it is smaller than the sum of its proper divisors (200022947328).

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

74292083712 is a wasteful number, since it uses less digits than its factorization.

74292083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34944 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 74292083712 in words is "seventy-four billion, two hundred ninety-two million, eighty-three thousand, seven hundred twelve".