11636006400 has 840 divisors, whose sum is σ = 45754247880. Its totient is φ = 2926264320.

The previous prime is 11636006387. The next prime is 11636006411. The reversal of 11636006400 is 460063611.

11636006400 is a `hidden beast` number, since 1 + 16 + 3 + 6 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 270604779 + ... + 270604821.

Almost surely, 2^11636006400 is an apocalyptic number.

11636006400 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 11636006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877123940).

11636006400 is an abundant number, since it is smaller than the sum of its proper divisors (34118241480).

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

11636006400 is an frugal number, since it uses more digits than its factorization.

11636006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11636006400 in words is "eleven billion, six hundred thirty-six million, six thousand, four hundred".