13761723360 has 384 divisors, whose sum is σ = 55794106368. Its totient is φ = 2767104000.

The previous prime is 13761723347. The next prime is 13761723361. The reversal of 13761723360 is 6332716731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13761723361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139755 + ... + 1151765.

It is an arithmetic number, because the mean of its divisors is an integer number (145297152).

Almost surely, 2^13761723360 is an apocalyptic number.

13761723360 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 13761723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27897053184).

13761723360 is an abundant number, since it is smaller than the sum of its proper divisors (42032383008).

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

13761723360 is a wasteful number, since it uses less digits than its factorization.

13761723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12078 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 13761723360 in words is "thirteen billion, seven hundred sixty-one million, seven hundred twenty-three thousand, three hundred sixty".