10618744866840 has 960 divisors, whose sum is σ = 40347370546560. Its totient is φ = 2501452800000.

The previous prime is 10618744866823. The next prime is 10618744866841. The reversal of 10618744866840 is 4866844781601.

10618744866840 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 74 + 486 + 6 + 84 + 0 = 666.

It is a super-2 number, since 2×10618744866840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10618744866841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4516691665 + ... + 4516694015.

It is an arithmetic number, because the mean of its divisors is an integer number (42028510986).

Almost surely, 2^{10618744866840} is an apocalyptic number.

10618744866840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10618744866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173685273280).

10618744866840 is an abundant number, since it is smaller than the sum of its proper divisors (29728625679720).

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

10618744866840 is a wasteful number, since it uses less digits than its factorization.

10618744866840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 10618744866840 in words is "ten trillion, six hundred eighteen billion, seven hundred forty-four million, eight hundred sixty-six thousand, eight hundred forty".