74048705349768 has 80 divisors (see below), whose sum is σ = 211817809716480. Its totient is φ = 24157733650272.

The previous prime is 74048705349767. The next prime is 74048705349769. The reversal of 74048705349768 is 86794350784047.

74048705349768 is a `hidden beast` number, since 7 + 4 + 0 + 4 + 8 + 70 + 5 + 3 + 497 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (74048705349767) and next prime (74048705349769).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 74048705349696 and 74048705349705.

It is not an unprimeable number, because it can be changed into a prime (74048705349767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1215636496 + ... + 1215697407.

It is an arithmetic number, because the mean of its divisors is an integer number (2647722621456).

Almost surely, 2^{74048705349768} is an apocalyptic number.

It is an amenable number.

74048705349768 is an abundant number, since it is smaller than the sum of its proper divisors (137769104366712).

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

74048705349768 is a wasteful number, since it uses less digits than its factorization.

74048705349768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431333968 (or 2431333955 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 74048705349768 in words is "seventy-four trillion, forty-eight billion, seven hundred five million, three hundred forty-nine thousand, seven hundred sixty-eight".