13376741760 has 512 divisors, whose sum is σ = 50585472000. Its totient is φ = 3372668928.

The previous prime is 13376741759. The next prime is 13376741761. The reversal of 13376741760 is 6714767331.

It is an interprime number because it is at equal distance from previous prime (13376741759) and next prime (13376741761).

It is a super-2 number, since 2×13376741760² (a number of 21 digits) contains 22 as substring.

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 (13376741761) by changing a digit.

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, 26593669 + ... + 26594171.

It is an arithmetic number, because the mean of its divisors is an integer number (98799750).

Almost surely, 2^13376741760 is an apocalyptic number.

13376741760 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 13376741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25292736000).

13376741760 is an abundant number, since it is smaller than the sum of its proper divisors (37208730240).

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

13376741760 is an frugal number, since it uses more digits than its factorization.

13376741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13376741760 in words is "thirteen billion, three hundred seventy-six million, seven hundred forty-one thousand, seven hundred sixty".