74395097326080 has 800 divisors, whose sum is σ = 278386121147904. Its totient is φ = 18952857944064.

The previous prime is 74395097326061. The next prime is 74395097326087. The reversal of 74395097326080 is 8062379059347.

74395097326080 is a `hidden beast` number, since 7 + 4 + 39 + 509 + 7 + 32 + 60 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74395097325999 and 74395097326017.

It is not an unprimeable number, because it can be changed into a prime (74395097326087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4068186697 + ... + 4068204983.

Almost surely, 2^{74395097326080} 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 74395097326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139193060573952).

74395097326080 is an abundant number, since it is smaller than the sum of its proper divisors (203991023821824).

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

74395097326080 is a wasteful number, since it uses less digits than its factorization.

74395097326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19198 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 74395097326080 in words is "seventy-four trillion, three hundred ninety-five billion, ninety-seven million, three hundred twenty-six thousand, eighty".