74331613440 has 1440 divisors, whose sum is σ = 326800083456. Its totient is φ = 15765995520.

The previous prime is 74331613427. The next prime is 74331613471. The reversal of 74331613440 is 4431613347.

74331613440 is a `hidden beast` number, since 7 + 4 + 3 + 31 + 613 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74331613395 and 74331613404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1018241244 + ... + 1018241316.

Almost surely, 2^74331613440 is an apocalyptic number.

74331613440 is a gapful number since it is divisible by the number (70) 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 74331613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163400041728).

74331613440 is an abundant number, since it is smaller than the sum of its proper divisors (252468470016).

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

74331613440 is a wasteful number, since it uses less digits than its factorization.

74331613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 74331613440 in words is "seventy-four billion, three hundred thirty-one million, six hundred thirteen thousand, four hundred forty".