13773319680 has 320 divisors, whose sum is σ = 45501730560. Its totient is φ = 3552116736.

The previous prime is 13773319661. The next prime is 13773319691. The reversal of 13773319680 is 8691337731.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59112844 + ... + 59113076.

It is an arithmetic number, because the mean of its divisors is an integer number (142192908).

Almost surely, 2^13773319680 is an apocalyptic number.

13773319680 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 13773319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750865280).

13773319680 is an abundant number, since it is smaller than the sum of its proper divisors (31728410880).

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

13773319680 is a wasteful number, since it uses less digits than its factorization.

13773319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 13773319680 in words is "thirteen billion, seven hundred seventy-three million, three hundred nineteen thousand, six hundred eighty".