74523974400 has 864 divisors, whose sum is σ = 302200657920. Its totient is φ = 17874616320.

The previous prime is 74523974359. The next prime is 74523974407. The reversal of 74523974400 is 447932547.

74523974400 is a `hidden beast` number, since 7 + 4 + 5 + 239 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (74523974407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 67564249 + ... + 67565351.

It is an arithmetic number, because the mean of its divisors is an integer number (349769280).

Almost surely, 2^74523974400 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 74523974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151100328960).

74523974400 is an abundant number, since it is smaller than the sum of its proper divisors (227676683520).

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

74523974400 is a wasteful number, since it uses less digits than its factorization.

74523974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 74523974400 in words is "seventy-four billion, five hundred twenty-three million, nine hundred seventy-four thousand, four hundred".