11732641920 has 192 divisors, whose sum is σ = 41821827840. Its totient is φ = 3027732480.

The previous prime is 11732641909. The next prime is 11732641931. The reversal of 11732641920 is 2914623711.

11732641920 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 2 + 641 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11732641909) and next prime (11732641931).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145707 + ... + 211413.

It is an arithmetic number, because the mean of its divisors is an integer number (217822020).

Almost surely, 2^11732641920 is an apocalyptic number.

11732641920 is a gapful number since it is divisible by the number (10) 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 11732641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910913920).

11732641920 is an abundant number, since it is smaller than the sum of its proper divisors (30089185920).

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

11732641920 is a wasteful number, since it uses less digits than its factorization.

11732641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65763 (or 65748 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11732641920 in words is "eleven billion, seven hundred thirty-two million, six hundred forty-one thousand, nine hundred twenty".