74409329000448 has 768 divisors, whose sum is σ = 236119941657600. Its totient is φ = 22441859481600.

The previous prime is 74409329000443. The next prime is 74409329000497. The reversal of 74409329000448 is 84400092390447.

74409329000448 is a `hidden beast` number, since 74 + 40 + 9 + 3 + 2 + 90 + 0 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 74409329000394 and 74409329000403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74409329000443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45734067411 + ... + 45734069037.

It is an arithmetic number, because the mean of its divisors is an integer number (307447840700).

Almost surely, 2^{74409329000448} is an apocalyptic number.

74409329000448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74409329000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118059970828800).

74409329000448 is an abundant number, since it is smaller than the sum of its proper divisors (161710612657152).

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

74409329000448 is a wasteful number, since it uses less digits than its factorization.

74409329000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 74409329000448 in words is "seventy-four trillion, four hundred nine billion, three hundred twenty-nine million, four hundred forty-eight", and thus it is an aban number.