66992968900 has 243 divisors, whose sum is σ = 173990529909. Its totient is φ = 22362912000.

The previous prime is 66992968883. The next prime is 66992968921. The reversal of 66992968900 is 986929966.

The square root of 66992968900 is 258830.

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

66992968900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 55485686916 + 11507281984 = 235554^2 + 107272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 370126810 + ... + 370126990.

Almost surely, 2^66992968900 is an apocalyptic number.

66992968900 is the 258830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66992968900

66992968900 is an abundant number, since it is smaller than the sum of its proper divisors (106997561009).

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

66992968900 is a wasteful number, since it uses less digits than its factorization.

66992968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 64.

Multiplying 66992968900 by its sum of digits (64), we get a square (4287550009600 = 2070640²).

The spelling of 66992968900 in words is "sixty-six billion, nine hundred ninety-two million, nine hundred sixty-eight thousand, nine hundred".