11634840000 has 1120 divisors, whose sum is σ = 52053337600. Its totient is φ = 2519424000.

The previous prime is 11634839969. The next prime is 11634840013. The reversal of 11634840000 is 4843611.

11634840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 612359991 + ... + 612360009.

Almost surely, 2^11634840000 is an apocalyptic number.

11634840000 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 11634840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026668800).

11634840000 is an abundant number, since it is smaller than the sum of its proper divisors (40418497600).

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

11634840000 is an frugal number, since it uses more digits than its factorization.

11634840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11634840000 in words is "eleven billion, six hundred thirty-four million, eight hundred forty thousand".