74468808000 has 588 divisors, whose sum is σ = 278975129628. Its totient is φ = 19682611200.

The previous prime is 74468807953. The next prime is 74468808047. The reversal of 74468808000 is 80886447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (74468807953) and next prime (74468808047).

It can be written as a sum of positive squares in 6 ways, for example, as 67408775424 + 7060032576 = 259632^2 + 84024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 659015944 + ... + 659016056.

Almost surely, 2^74468808000 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 74468808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139487564814).

74468808000 is an abundant number, since it is smaller than the sum of its proper divisors (204506321628).

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

74468808000 is an frugal number, since it uses more digits than its factorization.

74468808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

Multiplying 74468808000 by its sum of digits (45), we get a square (3351096360000 = 1830600²).

74468808000 divided by its sum of digits (45) gives a square (1654862400 = 40680²).

The spelling of 74468808000 in words is "seventy-four billion, four hundred sixty-eight million, eight hundred eight thousand".