11627667360 has 288 divisors, whose sum is σ = 40972735440. Its totient is φ = 3000582144.

The previous prime is 11627667353. The next prime is 11627667379. The reversal of 11627667360 is 6376672611.

11627667360 is a `hidden beast` number, since 1 + 16 + 276 + 6 + 7 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9774881424 + 1852785936 = 98868^2 + 43044^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12200644 + ... + 12201596.

Almost surely, 2^11627667360 is an apocalyptic number.

11627667360 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 11627667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20486367720).

11627667360 is an abundant number, since it is smaller than the sum of its proper divisors (29345068080).

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

11627667360 is a wasteful number, since it uses less digits than its factorization.

11627667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 11627667360 in words is "eleven billion, six hundred twenty-seven million, six hundred sixty-seven thousand, three hundred sixty".