74245350400 has 297 divisors, whose sum is σ = 200817227883. Its totient is φ = 27204403200.

The previous prime is 74245350359. The next prime is 74245350407. The reversal of 74245350400 is 405354247.

The square root of 74245350400 is 272480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19136848896 + 55108501504 = 138336^2 + 234752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74245350407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 566758335 + ... + 566758465.

Almost surely, 2^74245350400 is an apocalyptic number.

74245350400 is the 272480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74245350400

74245350400 is an abundant number, since it is smaller than the sum of its proper divisors (126571877483).

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

74245350400 is a wasteful number, since it uses less digits than its factorization.

74245350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The spelling of 74245350400 in words is "seventy-four billion, two hundred forty-five million, three hundred fifty thousand, four hundred".