11738623680 has 560 divisors, whose sum is σ = 49284550656. Its totient is φ = 2595317760.

The previous prime is 11738623679. The next prime is 11738623703. The reversal of 11738623680 is 8632683711.

11738623680 is a `hidden beast` number, since 1 + 17 + 3 + 8 + 623 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 5623597 + ... + 5625683.

Almost surely, 2^11738623680 is an apocalyptic number.

11738623680 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 11738623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642275328).

11738623680 is an abundant number, since it is smaller than the sum of its proper divisors (37545926976).

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

11738623680 is a wasteful number, since it uses less digits than its factorization.

11738623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11738623680 in words is "eleven billion, seven hundred thirty-eight million, six hundred twenty-three thousand, six hundred eighty".