4723632785664 has 891 divisors, whose sum is σ = 15679202114457. Its totient is φ = 1419624880128.

The previous prime is 4723632785591. The next prime is 4723632785687. The reversal of 4723632785664 is 4665872363274.

The square root of 4723632785664 is 2173392.

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

4723632785664 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 63 + 2 + 7 + 8 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 698762246400 + 4024870539264 = 835920^2 + 2006208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 109851925227 + ... + 109851925269.

Almost surely, 2^{4723632785664} is an apocalyptic number.

4723632785664 is the 2173392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4723632785664

4723632785664 is an abundant number, since it is smaller than the sum of its proper divisors (10955569328793).

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

4723632785664 is an frugal number, since it uses more digits than its factorization.

4723632785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 61 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

It can be divided in two parts, 47236 and 32785664, that added together give a square (32832900 = 5730²).

The spelling of 4723632785664 in words is "four trillion, seven hundred twenty-three billion, six hundred thirty-two million, seven hundred eighty-five thousand, six hundred sixty-four".