11007623340 has 72 divisors (see below), whose sum is σ = 38159765280. Its totient is φ = 2516027904.

The previous prime is 11007623339. The next prime is 11007623359. The reversal of 11007623340 is 4332670011.

11007623340 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 7 + 623 + 34 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366845 + ... + 4369364.

It is an arithmetic number, because the mean of its divisors is an integer number (529996740).

Almost surely, 2^11007623340 is an apocalyptic number.

11007623340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11007623340 is an abundant number, since it is smaller than the sum of its proper divisors (27152141940).

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

11007623340 is a wasteful number, since it uses less digits than its factorization.

11007623340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736231 (or 8736226 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 11007623340 in words is "eleven billion, seven million, six hundred twenty-three thousand, three hundred forty".