11006773632 has 96 divisors (see below), whose sum is σ = 32192574960. Its totient is φ = 3608755200.

The previous prime is 11006773523. The next prime is 11006773639. The reversal of 11006773632 is 23637760011.

11006773632 is a `hidden beast` number, since 1 + 10 + 0 + 6 + 7 + 7 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11006773632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006773639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8044 + ... + 148587.

Almost surely, 2^11006773632 is an apocalyptic number.

11006773632 is a gapful number since it is divisible by the number (12) 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 11006773632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096287480).

11006773632 is an abundant number, since it is smaller than the sum of its proper divisors (21185801328).

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

11006773632 is a wasteful number, since it uses less digits than its factorization.

11006773632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156712 (or 156697 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 11006773632 in words is "eleven billion, six million, seven hundred seventy-three thousand, six hundred thirty-two".