13760746560 has 840 divisors, whose sum is σ = 57064924224. Its totient is φ = 3120906240.

The previous prime is 13760746507. The next prime is 13760746591. The reversal of 13760746560 is 6564706731.

13760746560 is a `hidden beast` number, since 1 + 37 + 607 + 4 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82399597 + ... + 82399763.

Almost surely, 2^13760746560 is an apocalyptic number.

13760746560 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 13760746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28532462112).

13760746560 is an abundant number, since it is smaller than the sum of its proper divisors (43304177664).

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

13760746560 is a wasteful number, since it uses less digits than its factorization.

13760746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13760746560 in words is "thirteen billion, seven hundred sixty million, seven hundred forty-six thousand, five hundred sixty".