74536673071104 has 832 divisors, whose sum is σ = 237181584076800. Its totient is φ = 23351230955520.

The previous prime is 74536673071087. The next prime is 74536673071171. The reversal of 74536673071104 is 40117037663547.

74536673071104 is a `hidden beast` number, since 7 + 4 + 536 + 6 + 7 + 30 + 71 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22296340857 + ... + 22296344199.

Almost surely, 2^{74536673071104} 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 74536673071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118590792038400).

74536673071104 is an abundant number, since it is smaller than the sum of its proper divisors (162644911005696).

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

74536673071104 is an equidigital number, since it uses as much as digits as its factorization.

74536673071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 74536673071104 in words is "seventy-four trillion, five hundred thirty-six billion, six hundred seventy-three million, seventy-one thousand, one hundred four".