73547330048676 has 135 divisors (see below), whose sum is σ = 211339954289233. Its totient is φ = 22286555153280.

The previous prime is 73547330048671. The next prime is 73547330048677. The reversal of 73547330048676 is 67684003374537.

It is a happy number.

The square root of 73547330048676 is 8575974.

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

73547330048676 is a `hidden beast` number, since 7 + 3 + 54 + 7 + 3 + 30 + 0 + 486 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73214890164900 + 332439883776 = 8556570^2 + 576576^2 .

It is not an unprimeable number, because it can be changed into a prime (73547330048671) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1698021196 + ... + 1698064508.

Almost surely, 2^{73547330048676} is an apocalyptic number.

73547330048676 is the 8575974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73547330048676

73547330048676 is an abundant number, since it is smaller than the sum of its proper divisors (137792624240557).

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

73547330048676 is an frugal number, since it uses more digits than its factorization.

73547330048676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86664 (or 43329 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 73547330048676 in words is "seventy-three trillion, five hundred forty-seven billion, three hundred thirty million, forty-eight thousand, six hundred seventy-six".