74608563456 has 540 divisors, whose sum is σ = 261804078228. Its totient is φ = 21069103104.

The previous prime is 74608563451. The next prime is 74608563467. The reversal of 74608563456 is 65436580647.

74608563456 is a `hidden beast` number, since 7 + 460 + 85 + 63 + 45 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39833773056 + 34774790400 = 199584^2 + 186480^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74608563451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98557830 + ... + 98558586.

Almost surely, 2^74608563456 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 74608563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130902039114).

74608563456 is an abundant number, since it is smaller than the sum of its proper divisors (187195514772).

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

74608563456 is an equidigital number, since it uses as much as digits as its factorization.

74608563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 74608563456 in words is "seventy-four billion, six hundred eight million, five hundred sixty-three thousand, four hundred fifty-six".