74478096000 has 1024 divisors, whose sum is σ = 342171648000. Its totient is φ = 15469056000.

The previous prime is 74478095987. The next prime is 74478096013. The reversal of 74478096000 is 69087447.

It is an interprime number because it is at equal distance from previous prime (74478095987) and next prime (74478096013).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 33262881 + ... + 33265119.

It is an arithmetic number, because the mean of its divisors is an integer number (334152000).

Almost surely, 2^74478096000 is an apocalyptic number.

74478096000 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 74478096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824000).

74478096000 is an abundant number, since it is smaller than the sum of its proper divisors (267693552000).

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

74478096000 is a wasteful number, since it uses less digits than its factorization.

74478096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 74478096000 in words is "seventy-four billion, four hundred seventy-eight million, ninety-six thousand".