11810672640 has 832 divisors, whose sum is σ = 47557601280. Its totient is φ = 2760376320.

The previous prime is 11810672603. The next prime is 11810672683. The reversal of 11810672640 is 4627601811.

It is a happy number.

11810672640 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a junction number, because it is equal to n+sod(n) for n = 11810672595 and 11810672604.

It is a congruent number.

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, 222842854 + ... + 222842906.

Almost surely, 2^11810672640 is an apocalyptic number.

11810672640 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 11810672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778800640).

11810672640 is an abundant number, since it is smaller than the sum of its proper divisors (35746928640).

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

11810672640 is a wasteful number, since it uses less digits than its factorization.

11810672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11810672640 in words is "eleven billion, eight hundred ten million, six hundred seventy-two thousand, six hundred forty".