11642976000 has 216 divisors, whose sum is σ = 41895859824. Its totient is φ = 3104716800.

The previous prime is 11642975989. The next prime is 11642976019. The reversal of 11642976000 is 67924611.

11642976000 is a `hidden beast` number, since 1 + 1 + 6 + 42 + 9 + 7 + 600 + 0 = 666.

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

It is a congruent number.

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, 267787 + ... + 308213.

It is an arithmetic number, because the mean of its divisors is an integer number (193962314).

Almost surely, 2^11642976000 is an apocalyptic number.

11642976000 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 11642976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20947929912).

11642976000 is an abundant number, since it is smaller than the sum of its proper divisors (30252883824).

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

11642976000 is an equidigital number, since it uses as much as digits as its factorization.

11642976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40464 (or 40437 counting only the distinct ones).

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

The spelling of 11642976000 in words is "eleven billion, six hundred forty-two million, nine hundred seventy-six thousand".