13604900400 has 960 divisors, whose sum is σ = 60618342400. Its totient is φ = 2821754880.

The previous prime is 13604900381. The next prime is 13604900401. The reversal of 13604900400 is 400940631.

13604900400 is a `hidden beast` number, since 13 + 604 + 9 + 0 + 0 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13604900401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107125137 + ... + 107125263.

Almost surely, 2^13604900400 is an apocalyptic number.

13604900400 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 13604900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30309171200).

13604900400 is an abundant number, since it is smaller than the sum of its proper divisors (47013442000).

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

13604900400 is a wasteful number, since it uses less digits than its factorization.

13604900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

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

The spelling of 13604900400 in words is "thirteen billion, six hundred four million, nine hundred thousand, four hundred".