74436942496896 has 192 divisors, whose sum is σ = 259200068100480. Its totient is φ = 20016656769024.

The previous prime is 74436942496843. The next prime is 74436942496909. The reversal of 74436942496896 is 69869424963447.

74436942496896 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 6 + 9 + 42 + 496 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×74436942496896³ (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271356196 + ... + 271630371.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000354690).

Almost surely, 2^{74436942496896} is an apocalyptic number.

It is an amenable number.

74436942496896 is an abundant number, since it is smaller than the sum of its proper divisors (184763125603584).

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

74436942496896 is a wasteful number, since it uses less digits than its factorization.

74436942496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542986611 (or 542986596 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 81.

The spelling of 74436942496896 in words is "seventy-four trillion, four hundred thirty-six billion, nine hundred forty-two million, four hundred ninety-six thousand, eight hundred ninety-six".