13790649600 has 864 divisors, whose sum is σ = 62309623040. Its totient is φ = 2906357760.

The previous prime is 13790649581. The next prime is 13790649601. The reversal of 13790649600 is 694609731.

13790649600 is a `hidden beast` number, since 1 + 37 + 9 + 0 + 6 + 4 + 9 + 600 = 666.

13790649600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13790649601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724362 + ... + 15725238.

Almost surely, 2^13790649600 is an apocalyptic number.

13790649600 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 13790649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31154811520).

13790649600 is an abundant number, since it is smaller than the sum of its proper divisors (48518973440).

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

13790649600 is a wasteful number, since it uses less digits than its factorization.

13790649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13790649600 in words is "thirteen billion, seven hundred ninety million, six hundred forty-nine thousand, six hundred".