74102449840560 has 600 divisors, whose sum is σ = 282218209485696. Its totient is φ = 17998303887360.

The previous prime is 74102449840547. The next prime is 74102449840579. The reversal of 74102449840560 is 6504894420147.

74102449840560 is a `hidden beast` number, since 7 + 4 + 10 + 24 + 4 + 9 + 8 + 40 + 560 = 666.

It is a super-2 number, since 2×74102449840560² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 74102449840497 and 74102449840506.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 57416104 + ... + 58692536.

Almost surely, 2^{74102449840560} 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 74102449840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141109104742848).

74102449840560 is an abundant number, since it is smaller than the sum of its proper divisors (208115759645136).

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

74102449840560 is a wasteful number, since it uses less digits than its factorization.

74102449840560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276523 (or 1276491 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 74102449840560 in words is "seventy-four trillion, one hundred two billion, four hundred forty-nine million, eight hundred forty thousand, five hundred sixty".