7289661238920 has 96 divisors (see below), whose sum is σ = 23713075877400. Its totient is φ = 1942131050496.

The previous prime is 7289661238907. The next prime is 7289661238933. The reversal of 7289661238920 is 298321669827.

7289661238920 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 6 + 612 + 3 + 8 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7289661238907) and next prime (7289661238933).

It can be written as a sum of positive squares in 4 ways, for example, as 6086572541604 + 1203088697316 = 2467098^2 + 1096854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869585 + ... + 9656544.

Almost surely, 2^{7289661238920} is an apocalyptic number.

It is an amenable number.

7289661238920 is an abundant number, since it is smaller than the sum of its proper divisors (16423414638480).

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

7289661238920 is a wasteful number, since it uses less digits than its factorization.

7289661238920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527239 (or 18527232 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 7289661238920 in words is "seven trillion, two hundred eighty-nine billion, six hundred sixty-one million, two hundred thirty-eight thousand, nine hundred twenty".