11006400664 has 32 divisors (see below), whose sum is σ = 23818672800. Its totient is φ = 4670323200.

The previous prime is 11006400659. The next prime is 11006400737. The reversal of 11006400664 is 46600460011.

It is a super-2 number, since 2×11006400664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967329 + ... + 978640.

It is an arithmetic number, because the mean of its divisors is an integer number (744333525).

Almost surely, 2^11006400664 is an apocalyptic number.

11006400664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11006400664 is an abundant number, since it is smaller than the sum of its proper divisors (12812272136).

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

11006400664 is a wasteful number, since it uses less digits than its factorization.

11006400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946083 (or 1946079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11006400664 its reverse (46600460011), we get a palindrome (57606860675).

The spelling of 11006400664 in words is "eleven billion, six million, four hundred thousand, six hundred sixty-four".