74317644720 has 960 divisors, whose sum is σ = 302594918400. Its totient is φ = 16619765760.

The previous prime is 74317644679. The next prime is 74317644727. The reversal of 74317644720 is 2744671347.

74317644720 is a `hidden beast` number, since 7 + 4 + 3 + 176 + 4 + 472 + 0 = 666.

It is a super-2 number, since 2×74317644720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74317644727) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 542464492 + ... + 542464628.

It is an arithmetic number, because the mean of its divisors is an integer number (315203040).

Almost surely, 2^74317644720 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 74317644720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151297459200).

74317644720 is an abundant number, since it is smaller than the sum of its proper divisors (228277273680).

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

74317644720 is a wasteful number, since it uses less digits than its factorization.

74317644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 74317644720 in words is "seventy-four billion, three hundred seventeen million, six hundred forty-four thousand, seven hundred twenty".