13264567464960 has 1760 divisors, whose sum is σ = 56345756848128. Its totient is φ = 2921088614400.

The previous prime is 13264567464899. The next prime is 13264567464961. The reversal of 13264567464960 is 6946476546231.

13264567464960 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 567 + 4 + 6 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264567464961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9141672235 + ... + 9141673685.

Almost surely, 2^{13264567464960} is an apocalyptic number.

13264567464960 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 13264567464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28172878424064).

13264567464960 is an abundant number, since it is smaller than the sum of its proper divisors (43081189383168).

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

13264567464960 is a wasteful number, since it uses less digits than its factorization.

13264567464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 13264567464960 in words is "thirteen trillion, two hundred sixty-four billion, five hundred sixty-seven million, four hundred sixty-four thousand, nine hundred sixty".