9864743990761 has 27 divisors (see below), whose sum is σ = 11145486243717. Its totient is φ = 8724441385440.

The previous prime is 9864743990753. The next prime is 9864743990851. The reversal of 9864743990761 is 1670993474689.

The square root of 9864743990761 is 3140819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1832961269161 + 8031782721600 = 1353869^2 + 2834040^2 .

It is not a de Polignac number, because 9864743990761 - 2³ = 9864743990753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9864743990741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1278309475 + ... + 1278317191.

Almost surely, 2^{9864743990761} is an apocalyptic number.

9864743990761 is the 3140819-th square number.

9864743990761 is the 1570410-th centered octagonal number.

It is an amenable number.

9864743990761 is a deficient number, since it is larger than the sum of its proper divisors (1280742252956).

9864743990761 is an frugal number, since it uses more digits than its factorization.

9864743990761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15530 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 73.

The spelling of 9864743990761 in words is "nine trillion, eight hundred sixty-four billion, seven hundred forty-three million, nine hundred ninety thousand, seven hundred sixty-one".