74106911646720 has 1408 divisors, whose sum is σ = 288251976499200. Its totient is φ = 17990752665600.

The previous prime is 74106911646709. The next prime is 74106911646737. The reversal of 74106911646720 is 2764611960147.

It is a happy number.

74106911646720 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 69 + 116 + 467 + 2 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 7215155185 + ... + 7215165455.

Almost surely, 2^{74106911646720} 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 74106911646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144125988249600).

74106911646720 is an abundant number, since it is smaller than the sum of its proper divisors (214145064852480).

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

74106911646720 is a wasteful number, since it uses less digits than its factorization.

74106911646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 74106911646720 in words is "seventy-four trillion, one hundred six billion, nine hundred eleven million, six hundred forty-six thousand, seven hundred twenty".