74006815341420 has 576 divisors, whose sum is σ = 260455342178304. Its totient is φ = 16866093404160.

The previous prime is 74006815341323. The next prime is 74006815341439. The reversal of 74006815341420 is 2414351860047.

74006815341420 is a `hidden beast` number, since 7 + 4 + 0 + 0 + 6 + 81 + 534 + 14 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280108699 + ... + 280372781.

It is an arithmetic number, because the mean of its divisors is an integer number (452179413504).

Almost surely, 2^{74006815341420} 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 74006815341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130227671089152).

74006815341420 is an abundant number, since it is smaller than the sum of its proper divisors (186448526836884).

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

74006815341420 is a wasteful number, since it uses less digits than its factorization.

74006815341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264302 (or 264297 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 74006815341420 in words is "seventy-four trillion, six billion, eight hundred fifteen million, three hundred forty-one thousand, four hundred twenty".