74280561408 has 270 divisors, whose sum is σ = 233785731564. Its totient is φ = 23454655488.

The previous prime is 74280561391. The next prime is 74280561457. The reversal of 74280561408 is 80416508247.

74280561408 is a `hidden beast` number, since 7 + 4 + 2 + 80 + 561 + 4 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7480735 + ... + 7490657.

Almost surely, 2^74280561408 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 74280561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116892865782).

74280561408 is an abundant number, since it is smaller than the sum of its proper divisors (159505170156).

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

74280561408 is an equidigital number, since it uses as much as digits as its factorization.

74280561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 74280561408 in words is "seventy-four billion, two hundred eighty million, five hundred sixty-one thousand, four hundred eight".