13776564240 has 240 divisors, whose sum is σ = 48147293376. Its totient is φ = 3660940800.

The previous prime is 13776564233. The next prime is 13776564257. The reversal of 13776564240 is 4246567731.

13776564240 is a `hidden beast` number, since 13 + 7 + 76 + 564 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 6433570 + ... + 6435710.

Almost surely, 2^13776564240 is an apocalyptic number.

13776564240 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 13776564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24073646688).

13776564240 is an abundant number, since it is smaller than the sum of its proper divisors (34370729136).

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

13776564240 is a wasteful number, since it uses less digits than its factorization.

13776564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 13776564240 in words is "thirteen billion, seven hundred seventy-six million, five hundred sixty-four thousand, two hundred forty".