74418934942880 has 384 divisors, whose sum is σ = 197237530828800. Its totient is φ = 26305619558400.

The previous prime is 74418934942873. The next prime is 74418934942889. The reversal of 74418934942880 is 8824943981447.

It is a Cunningham number, because it is equal to 8626641²-1.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is not an unprimeable number, because it can be changed into a prime (74418934942889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7591440059 + ... + 7591449861.

It is an arithmetic number, because the mean of its divisors is an integer number (513639403200).

Almost surely, 2^{74418934942880} 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 74418934942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98618765414400).

74418934942880 is an abundant number, since it is smaller than the sum of its proper divisors (122818595885920).

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

74418934942880 is a wasteful number, since it uses less digits than its factorization.

74418934942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10748 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 71.

The spelling of 74418934942880 in words is "seventy-four trillion, four hundred eighteen billion, nine hundred thirty-four million, nine hundred forty-two thousand, eight hundred eighty".