11644496640 has 432 divisors, whose sum is σ = 46341142848. Its totient is φ = 2644475904.

The previous prime is 11644496593. The next prime is 11644496651. The reversal of 11644496640 is 4669444611.

11644496640 is a `hidden beast` number, since 1 + 164 + 449 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15885714 + ... + 15886446.

It is an arithmetic number, because the mean of its divisors is an integer number (107271164).

Almost surely, 2^11644496640 is an apocalyptic number.

11644496640 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 11644496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170571424).

11644496640 is an abundant number, since it is smaller than the sum of its proper divisors (34696646208).

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

11644496640 is a wasteful number, since it uses less digits than its factorization.

11644496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 11644496640 in words is "eleven billion, six hundred forty-four million, four hundred ninety-six thousand, six hundred forty".