13360464000 has 960 divisors, whose sum is σ = 54612609480. Its totient is φ = 3234816000.

The previous prime is 13360463993. The next prime is 13360464001. The reversal of 13360464000 is 46406331.

13360464000 is a `hidden beast` number, since 13 + 3 + 6 + 0 + 4 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8269356096 + 5091107904 = 90936^2 + 71352^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13360464001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 219023970 + ... + 219024030.

Almost surely, 2^13360464000 is an apocalyptic number.

13360464000 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 13360464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306304740).

13360464000 is an abundant number, since it is smaller than the sum of its proper divisors (41252145480).

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

13360464000 is an equidigital number, since it uses as much as digits as its factorization.

13360464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13360464000 in words is "thirteen billion, three hundred sixty million, four hundred sixty-four thousand".