8029685668900 has 135 divisors (see below), whose sum is σ = 20330793640241. Its totient is φ = 2752559029920.

The previous prime is 8029685668883. The next prime is 8029685668931. The reversal of 8029685668900 is 98665869208.

The square root of 8029685668900 is 2833670.

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., 2890686840804 + 5138998828096 = 1700202^2 + 2266936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1388495409 + ... + 1388501191.

Almost surely, 2^{8029685668900} is an apocalyptic number.

8029685668900 is the 2833670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8029685668900

8029685668900 is an abundant number, since it is smaller than the sum of its proper divisors (12301107971341).

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

8029685668900 is an frugal number, since it uses more digits than its factorization.

8029685668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 8029685668900 in words is "eight trillion, twenty-nine billion, six hundred eighty-five million, six hundred sixty-eight thousand, nine hundred".