13669037760 has 224 divisors, whose sum is σ = 52210045440. Its totient is φ = 2959884288.

The previous prime is 13669037737. The next prime is 13669037783. The reversal of 13669037760 is 6773096631.

It is an interprime number because it is at equal distance from previous prime (13669037737) and next prime (13669037783).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74152 + ... + 181208.

It is an arithmetic number, because the mean of its divisors is an integer number (233080560).

Almost surely, 2^13669037760 is an apocalyptic number.

13669037760 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 13669037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26105022720).

13669037760 is an abundant number, since it is smaller than the sum of its proper divisors (38541007680).

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

13669037760 is a wasteful number, since it uses less digits than its factorization.

13669037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107103 (or 107093 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 13669037760 in words is "thirteen billion, six hundred sixty-nine million, thirty-seven thousand, seven hundred sixty".