11264037664 has 96 divisors (see below), whose sum is σ = 25317411840. Its totient is φ = 4883155200.

The previous prime is 11264037649. The next prime is 11264037671. The reversal of 11264037664 is 46673046211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066549 + ... + 3070219.

It is an arithmetic number, because the mean of its divisors is an integer number (263723040).

Almost surely, 2^11264037664 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 11264037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658705920).

11264037664 is an abundant number, since it is smaller than the sum of its proper divisors (14053374176).

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

11264037664 is a wasteful number, since it uses less digits than its factorization.

11264037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 11264037664 in words is "eleven billion, two hundred sixty-four million, thirty-seven thousand, six hundred sixty-four".