74838608496 has 240 divisors, whose sum is σ = 224903480256. Its totient is φ = 23148601344.

The previous prime is 74838608477. The next prime is 74838608521. The reversal of 74838608496 is 69480683847.

74838608496 is a `hidden beast` number, since 7 + 4 + 83 + 8 + 60 + 8 + 496 = 666.

It is a super-3 number, since 3×74838608496³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 73877686 + ... + 73878698.

Almost surely, 2^74838608496 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 74838608496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112451740128).

74838608496 is an abundant number, since it is smaller than the sum of its proper divisors (150064871760).

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

74838608496 is a wasteful number, since it uses less digits than its factorization.

74838608496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 74838608496 in words is "seventy-four billion, eight hundred thirty-eight million, six hundred eight thousand, four hundred ninety-six".