74414335920 has 80 divisors (see below), whose sum is σ = 230999700192. Its totient is φ = 19816704000.

The previous prime is 74414335873. The next prime is 74414335927. The reversal of 74414335920 is 2953341447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (74414335927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35581 + ... + 387420.

Almost surely, 2^74414335920 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 74414335920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115499850096).

74414335920 is an abundant number, since it is smaller than the sum of its proper divisors (156585364272).

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

74414335920 is a wasteful number, since it uses less digits than its factorization.

74414335920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423750 (or 423744 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 74414335920 in words is "seventy-four billion, four hundred fourteen million, three hundred thirty-five thousand, nine hundred twenty".