9741654864 has 100 divisors (see below), whose sum is σ = 28259658900. Its totient is φ = 3239792640.

The previous prime is 9741654851. The next prime is 9741654883. The reversal of 9741654864 is 4684561479.

9741654864 is a `hidden beast` number, since 97 + 4 + 1 + 6 + 548 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8164929600 + 1576725264 = 90360^2 + 39708^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9741654864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 573534 + ... + 590274.

It is an arithmetic number, because the mean of its divisors is an integer number (282596589).

Almost surely, 2^9741654864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9741654864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129829450).

9741654864 is an abundant number, since it is smaller than the sum of its proper divisors (18518004036).

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

9741654864 is a wasteful number, since it uses less digits than its factorization.

9741654864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17210 (or 17195 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 9741654864 is about 98699.8220059185. The cubic root of 9741654864 is about 2135.7196640047.

The spelling of 9741654864 in words is "nine billion, seven hundred forty-one million, six hundred fifty-four thousand, eight hundred sixty-four".