74546673124672 has 112 divisors (see below), whose sum is σ = 170020600247680. Its totient is φ = 31767323904000.

The previous prime is 74546673124663. The next prime is 74546673124673. The reversal of 74546673124672 is 27642137664547.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74546673124673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573146047 + ... + 573276097.

It is an arithmetic number, because the mean of its divisors is an integer number (1518041073640).

Almost surely, 2^{74546673124672} 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 74546673124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85010300123840).

74546673124672 is an abundant number, since it is smaller than the sum of its proper divisors (95473927123008).

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

74546673124672 is a wasteful number, since it uses less digits than its factorization.

74546673124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137320 (or 137310 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 64.

The spelling of 74546673124672 in words is "seventy-four trillion, five hundred forty-six billion, six hundred seventy-three million, one hundred twenty-four thousand, six hundred seventy-two".