11684643210240 has 704 divisors, whose sum is σ = 50178663198720. Its totient is φ = 2241207336960.

The previous prime is 11684643210181. The next prime is 11684643210277. The reversal of 11684643210240 is 4201234648611.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11684643210192 and 11684643210201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14995381 + ... + 15755339.

Almost surely, 2^{11684643210240} is an apocalyptic number.

11684643210240 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 11684643210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25089331599360).

11684643210240 is an abundant number, since it is smaller than the sum of its proper divisors (38494019988480).

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

11684643210240 is a wasteful number, since it uses less digits than its factorization.

11684643210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760018 (or 760000 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

Adding to 11684643210240 its reverse (4201234648611), we get a palindrome (15885877858851).

The spelling of 11684643210240 in words is "eleven trillion, six hundred eighty-four billion, six hundred forty-three million, two hundred ten thousand, two hundred forty".