74158900992 has 216 divisors, whose sum is σ = 233665771248. Its totient is φ = 22432972800.

The previous prime is 74158900961. The next prime is 74158900993. The reversal of 74158900992 is 29900985147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74158900993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16547392 + ... + 16551872.

It is an arithmetic number, because the mean of its divisors is an integer number (1081785978).

Almost surely, 2^74158900992 is an apocalyptic number.

74158900992 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 74158900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116832885624).

74158900992 is an abundant number, since it is smaller than the sum of its proper divisors (159506870256).

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

74158900992 is a wasteful number, since it uses less digits than its factorization.

74158900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 74158900992 in words is "seventy-four billion, one hundred fifty-eight million, nine hundred thousand, nine hundred ninety-two".