9960007778704 has 45 divisors (see below), whose sum is σ = 20499878128161. Its totient is φ = 4686961493760.

The previous prime is 9960007778701. The next prime is 9960007778723. The reversal of 9960007778704 is 4078777000699.

The square root of 9960007778704 is 3155948.

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

9960007778704 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 only one way, i.e., 7754331315600 + 2205676463104 = 2784660^2 + 1485152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9960007778701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214581259 + ... + 214627669.

Almost surely, 2^{9960007778704} is an apocalyptic number.

9960007778704 is the 3155948-th square number.

It is an amenable number.

9960007778704 is an abundant number, since it is smaller than the sum of its proper divisors (10539870349457).

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

9960007778704 is an frugal number, since it uses more digits than its factorization.

9960007778704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92864 (or 46430 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 64.

Multiplying 9960007778704 by its sum of digits (64), we get a square (637440497837056 = 25247584²).

The spelling of 9960007778704 in words is "nine trillion, nine hundred sixty billion, seven million, seven hundred seventy-eight thousand, seven hundred four".