73469583673600 has 243 divisors, whose sum is σ = 182967226806987. Its totient is φ = 29208176087040.

The previous prime is 73469583673589. The next prime is 73469583673637. The reversal of 73469583673600 is 637638596437.

The square root of 73469583673600 is 8571440.

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 755898091776 + 72713685581824 = 869424^2 + 8527232^2 .

It is a super-2 number, since 2×73469583673600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210514566226 + ... + 210514566574.

Almost surely, 2^{73469583673600} is an apocalyptic number.

73469583673600 is the 8571440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73469583673600

73469583673600 is an abundant number, since it is smaller than the sum of its proper divisors (109497643133387).

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

73469583673600 is an frugal number, since it uses more digits than its factorization.

73469583673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 67.

The spelling of 73469583673600 in words is "seventy-three trillion, four hundred sixty-nine billion, five hundred eighty-three million, six hundred seventy-three thousand, six hundred".