9962047720261 has 32 divisors (see below), whose sum is σ = 12374221024256. Its totient is φ = 7809584544000.

The previous prime is 9962047720253. The next prime is 9962047720267. The reversal of 9962047720261 is 1620277402699.

9962047720261 is a nontrivial binomial coefficient, being equal to C(4463642, 2).

It is a 4-Lehmer number, since φ(9962047720261) divides (9962047720261-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9962047720261 - 2³ = 9962047720253 is a prime.

It is a deceptive number, since it divides R_{9962047720260}.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962047720267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3347731 + ... + 5579551.

It is an arithmetic number, because the mean of its divisors is an integer number (386694407008).

It is a Poulet number, since it divides 2^{9962047720260}-1.

Almost surely, 2^{9962047720261} is an apocalyptic number.

9962047720261 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9962047720261 is the 4463641-st triangular number and also the 2231821-st hexagonal number.

9962047720261 is the 1487881-st centered nonagonal number.

It is an amenable number.

9962047720261 is a deficient number, since it is larger than the sum of its proper divisors (2412173303995).

9962047720261 is a wasteful number, since it uses less digits than its factorization.

9962047720261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232293.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 9962047720261 in words is "nine trillion, nine hundred sixty-two billion, forty-seven million, seven hundred twenty thousand, two hundred sixty-one".