74578913269056 has 1008 divisors, whose sum is σ = 265901391325440. Its totient is φ = 20435892019200.

The previous prime is 74578913268949. The next prime is 74578913269061. The reversal of 74578913269056 is 65096231987547.

74578913269056 is a `hidden beast` number, since 7 + 457 + 8 + 9 + 1 + 32 + 6 + 90 + 56 = 666.

74578913269056 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×74578913269056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 9194782441 + ... + 9194790551.

It is a 1-persistent number, because it is pandigital, but 2⋅74578913269056 = 149157826538112 is not.

Almost surely, 2^{74578913269056} 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 74578913269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132950695662720).

74578913269056 is an abundant number, since it is smaller than the sum of its proper divisors (191322478056384).

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

74578913269056 is a wasteful number, since it uses less digits than its factorization.

74578913269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 74578913269056 in words is "seventy-four trillion, five hundred seventy-eight billion, nine hundred thirteen million, two hundred sixty-nine thousand, fifty-six".