11607432408 has 384 divisors, whose sum is σ = 38547705600. Its totient is φ = 3207859200.

The previous prime is 11607432401. The next prime is 11607432491. The reversal of 11607432408 is 80423470611.

11607432408 is a `hidden beast` number, since 1 + 1 + 607 + 4 + 3 + 2 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607432401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55011423 + ... + 55011633.

It is an arithmetic number, because the mean of its divisors is an integer number (100384650).

Almost surely, 2^11607432408 is an apocalyptic number.

11607432408 is a gapful number since it is divisible by the number (18) 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 11607432408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273852800).

11607432408 is an abundant number, since it is smaller than the sum of its proper divisors (26940273192).

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

11607432408 is a wasteful number, since it uses less digits than its factorization.

11607432408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11607432408 in words is "eleven billion, six hundred seven million, four hundred thirty-two thousand, four hundred eight".