11638373760 has 512 divisors, whose sum is σ = 44910028800. Its totient is φ = 2831376384.

The previous prime is 11638373647. The next prime is 11638373777. The reversal of 11638373760 is 6737383611.

It is a happy number.

11638373760 is a `hidden beast` number, since 1 + 1 + 638 + 3 + 7 + 3 + 7 + 6 + 0 = 666.

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

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, 23137669 + ... + 23138171.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^11638373760 is an apocalyptic number.

11638373760 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 11638373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

11638373760 is an abundant number, since it is smaller than the sum of its proper divisors (33271655040).

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

11638373760 is a wasteful number, since it uses less digits than its factorization.

11638373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

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

The spelling of 11638373760 in words is "eleven billion, six hundred thirty-eight million, three hundred seventy-three thousand, seven hundred sixty".