11062632672 has 240 divisors, whose sum is σ = 40043801952. Its totient is φ = 2917555200.

The previous prime is 11062632671. The next prime is 11062632727. The reversal of 11062632672 is 27623626011.

11062632672 is a `hidden beast` number, since 1 + 1 + 0 + 626 + 3 + 26 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11062632671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212422 + ... + 259322.

Almost surely, 2^11062632672 is an apocalyptic number.

11062632672 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 11062632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021900976).

11062632672 is an abundant number, since it is smaller than the sum of its proper divisors (28981169280).

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

11062632672 is a wasteful number, since it uses less digits than its factorization.

11062632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46943 (or 46926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11062632672 in words is "eleven billion, sixty-two million, six hundred thirty-two thousand, six hundred seventy-two".