13673801760 has 384 divisors, whose sum is σ = 48777168384. Its totient is φ = 3200778240.

The previous prime is 13673801699. The next prime is 13673801773. The reversal of 13673801760 is 6710837631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7693992 + ... + 7695768.

It is an arithmetic number, because the mean of its divisors is an integer number (127023876).

Almost surely, 2^13673801760 is an apocalyptic number.

13673801760 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 13673801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24388584192).

13673801760 is an abundant number, since it is smaller than the sum of its proper divisors (35103366624).

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

13673801760 is a wasteful number, since it uses less digits than its factorization.

13673801760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13673801760 in words is "thirteen billion, six hundred seventy-three million, eight hundred one thousand, seven hundred sixty".