74781445734720 has 1344 divisors, whose sum is σ = 282628849950720. Its totient is φ = 18793633996800.

The previous prime is 74781445734713. The next prime is 74781445734731. The reversal of 74781445734720 is 2743754418747.

74781445734720 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 14 + 4 + 573 + 47 + 2 + 0 = 666.

It is a super-2 number, since 2×74781445734720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17758593415 + ... + 17758597625.

It is an arithmetic number, because the mean of its divisors is an integer number (210289322880).

Almost surely, 2^{74781445734720} 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 74781445734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141314424975360).

74781445734720 is an abundant number, since it is smaller than the sum of its proper divisors (207847404216000).

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

74781445734720 is a wasteful number, since it uses less digits than its factorization.

74781445734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 74781445734720 in words is "seventy-four trillion, seven hundred eighty-one billion, four hundred forty-five million, seven hundred thirty-four thousand, seven hundred twenty".