74775454560 has 864 divisors, whose sum is σ = 292830370560. Its totient is φ = 17958454272.

The previous prime is 74775454519. The next prime is 74775454597. The reversal of 74775454560 is 6545457747.

74775454560 is a `hidden beast` number, since 7 + 4 + 7 + 75 + 4 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 74775454497 and 74775454506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 458745039 + ... + 458745201.

It is an arithmetic number, because the mean of its divisors is an integer number (338924040).

Almost surely, 2^74775454560 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 74775454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146415185280).

74775454560 is an abundant number, since it is smaller than the sum of its proper divisors (218054916000).

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

74775454560 is a wasteful number, since it uses less digits than its factorization.

74775454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 74775454560 in words is "seventy-four billion, seven hundred seventy-five million, four hundred fifty-four thousand, five hundred sixty".