74426073004800 has 3456 divisors, whose sum is σ = 331106807808000. Its totient is φ = 16136463974400.

The previous prime is 74426073004687. The next prime is 74426073004879. The reversal of 74426073004800 is 840037062447.

74426073004800 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 607 + 30 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177627858991 + ... + 177627859409.

It is an arithmetic number, because the mean of its divisors is an integer number (95806368000).

Almost surely, 2^{74426073004800} 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 74426073004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165553403904000).

74426073004800 is an abundant number, since it is smaller than the sum of its proper divisors (256680734803200).

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

74426073004800 is a wasteful number, since it uses less digits than its factorization.

74426073004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 74426073004800 in words is "seventy-four trillion, four hundred twenty-six billion, seventy-three million, four thousand, eight hundred".