10662344600 has 96 divisors (see below), whose sum is σ = 26702576640. Its totient is φ = 3947856000.

The previous prime is 10662344599. The next prime is 10662344657. The reversal of 10662344600 is 644326601.

It is a super-2 number, since 2×10662344600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105215 + ... + 179985.

It is an arithmetic number, because the mean of its divisors is an integer number (278151840).

Almost surely, 2^10662344600 is an apocalyptic number.

10662344600 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 10662344600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351288320).

10662344600 is an abundant number, since it is smaller than the sum of its proper divisors (16040232040).

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

10662344600 is a wasteful number, since it uses less digits than its factorization.

10662344600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74841 (or 74832 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 10662344600 in words is "ten billion, six hundred sixty-two million, three hundred forty-four thousand, six hundred".