11643540480 has 1408 divisors, whose sum is σ = 52822425600. Its totient is φ = 2388787200.

The previous prime is 11643540463. The next prime is 11643540509. The reversal of 11643540480 is 8404534611.

11643540480 is a `hidden beast` number, since 1 + 1 + 643 + 5 + 4 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 375598065 + ... + 375598095.

Almost surely, 2^11643540480 is an apocalyptic number.

11643540480 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 11643540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411212800).

11643540480 is an abundant number, since it is smaller than the sum of its proper divisors (41178885120).

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

11643540480 is a wasteful number, since it uses less digits than its factorization.

11643540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11643540480 in words is "eleven billion, six hundred forty-three million, five hundred forty thousand, four hundred eighty".