74814081408 has 256 divisors, whose sum is σ = 253558944000. Its totient is φ = 21477519360.

The previous prime is 74814081347. The next prime is 74814081613. The reversal of 74814081408 is 80418041847.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 670516 + ... + 774092.

It is an arithmetic number, because the mean of its divisors is an integer number (990464625).

Almost surely, 2^74814081408 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 74814081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126779472000).

74814081408 is an abundant number, since it is smaller than the sum of its proper divisors (178744862592).

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

74814081408 is a wasteful number, since it uses less digits than its factorization.

74814081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103630 (or 103612 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 74814081408 in words is "seventy-four billion, eight hundred fourteen million, eighty-one thousand, four hundred eight".