536960666176 has 105 divisors (see below), whose sum is σ = 1173627540345. Its totient is φ = 243750608640.

The previous prime is 536960666171. The next prime is 536960666233. The reversal of 536960666176 is 671666069635.

The square root of 536960666176 is 732776.

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

It can be written as a sum of positive squares in only one way, i.e., 331729921600 + 205230744576 = 575960^2 + 453024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536960666171) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 709326790 + ... + 709327546.

Almost surely, 2^536960666176 is an apocalyptic number.

536960666176 is the 732776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536960666176

536960666176 is an abundant number, since it is smaller than the sum of its proper divisors (636666874169).

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

536960666176 is an frugal number, since it uses more digits than its factorization.

536960666176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 61.

The spelling of 536960666176 in words is "five hundred thirty-six billion, nine hundred sixty million, six hundred sixty-six thousand, one hundred seventy-six".