13768592640 has 288 divisors, whose sum is σ = 48657272832. Its totient is φ = 3290112000.

The previous prime is 13768592639. The next prime is 13768592737. The reversal of 13768592640 is 4629586731.

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, 2996745 + ... + 3001335.

It is an arithmetic number, because the mean of its divisors is an integer number (168948864).

It is a 1-persistent number, because it is pandigital, but 2⋅13768592640 = 27537185280 is not.

Almost surely, 2^13768592640 is an apocalyptic number.

13768592640 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 13768592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328636416).

13768592640 is an abundant number, since it is smaller than the sum of its proper divisors (34888680192).

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

13768592640 is a wasteful number, since it uses less digits than its factorization.

13768592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 13768592640 in words is "thirteen billion, seven hundred sixty-eight million, five hundred ninety-two thousand, six hundred forty".