13463746560 has 768 divisors, whose sum is σ = 55194048000. Its totient is φ = 3078881280.

The previous prime is 13463746553. The next prime is 13463746561. The reversal of 13463746560 is 6564736431.

13463746560 is a `hidden beast` number, since 1 + 3 + 4 + 637 + 4 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13463746561) 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, 57784204 + ... + 57784436.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^13463746560 is an apocalyptic number.

13463746560 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 13463746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024000).

13463746560 is an abundant number, since it is smaller than the sum of its proper divisors (41730301440).

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

13463746560 is a wasteful number, since it uses less digits than its factorization.

13463746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 13463746560 in words is "thirteen billion, four hundred sixty-three million, seven hundred forty-six thousand, five hundred sixty".