73569974400 has 288 divisors, whose sum is σ = 282709392420. Its totient is φ = 18109440000.

The previous prime is 73569974383. The next prime is 73569974441. The reversal of 73569974400 is 447996537.

It is a happy number.

73569974400 is a `hidden beast` number, since 7 + 3 + 569 + 9 + 74 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20275481664 + 53294492736 = 142392^2 + 230856^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×73569974400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276150 + ... + 472650.

Almost surely, 2^73569974400 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 73569974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141354696210).

73569974400 is an abundant number, since it is smaller than the sum of its proper divisors (209139418020).

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

73569974400 is a wasteful number, since it uses less digits than its factorization.

73569974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196544 (or 196524 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 73569974400 in words is "seventy-three billion, five hundred sixty-nine million, nine hundred seventy-four thousand, four hundred".