74439754560 has 168 divisors, whose sum is σ = 256157629416. Its totient is φ = 19841617920.

The previous prime is 74439754559. The next prime is 74439754567. The reversal of 74439754560 is 6545793447.

74439754560 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 9 + 75 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 74411110656 = 5352^2 + 272784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74439754497 and 74439754506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74439754567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8511790 + ... + 8520530.

Almost surely, 2^74439754560 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 74439754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128078814708).

74439754560 is an abundant number, since it is smaller than the sum of its proper divisors (181717874856).

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

74439754560 is a wasteful number, since it uses less digits than its factorization.

74439754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 74439754560 in words is "seventy-four billion, four hundred thirty-nine million, seven hundred fifty-four thousand, five hundred sixty".