74465143084800 has 3456 divisors, whose sum is σ = 321894067461120. Its totient is φ = 16676919705600.

The previous prime is 74465143084741. The next prime is 74465143084861. The reversal of 74465143084800 is 848034156447.

74465143084800 is a `hidden beast` number, since 7 + 4 + 4 + 6 + 51 + 430 + 84 + 80 + 0 = 666.

74465143084800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is a congruent number.

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, 224970220635 + ... + 224970220965.

It is an arithmetic number, because the mean of its divisors is an integer number (93140644520).

Almost surely, 2^{74465143084800} 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 74465143084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160947033730560).

74465143084800 is an abundant number, since it is smaller than the sum of its proper divisors (247428924376320).

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

74465143084800 is a wasteful number, since it uses less digits than its factorization.

74465143084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 74465143084800 in words is "seventy-four trillion, four hundred sixty-five billion, one hundred forty-three million, eighty-four thousand, eight hundred".