11007666740 has 72 divisors (see below), whose sum is σ = 27128396232. Its totient is φ = 3740620800.

The previous prime is 11007666721. The next prime is 11007666743. The reversal of 11007666740 is 4766670011.

It can be written as a sum of positive squares in 4 ways, for example, as 47251876 + 10960414864 = 6874^2 + 104692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11007666694 and 11007666703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007666743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61040 + ... + 160440.

It is an arithmetic number, because the mean of its divisors is an integer number (376783281).

Almost surely, 2^11007666740 is an apocalyptic number.

11007666740 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 11007666740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564198116).

11007666740 is an abundant number, since it is smaller than the sum of its proper divisors (16120729492).

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

11007666740 is a wasteful number, since it uses less digits than its factorization.

11007666740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99537 (or 99528 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 11007666740 in words is "eleven billion, seven million, six hundred sixty-six thousand, seven hundred forty".