74609808000 has 2048 divisors, whose sum is σ = 342171648000. Its totient is φ = 13934592000.

The previous prime is 74609807977. The next prime is 74609808017. The reversal of 74609808000 is 80890647.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2406767985 + ... + 2406768015.

It is an arithmetic number, because the mean of its divisors is an integer number (167076000).

Almost surely, 2^74609808000 is an apocalyptic number.

74609808000 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 74609808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824000).

74609808000 is an abundant number, since it is smaller than the sum of its proper divisors (267561840000).

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

74609808000 is a wasteful number, since it uses less digits than its factorization.

74609808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 74609808000 in words is "seventy-four billion, six hundred nine million, eight hundred eight thousand".