13462087680 has 768 divisors, whose sum is σ = 52363584000. Its totient is φ = 3269984256.

The previous prime is 13462087669. The next prime is 13462087693. The reversal of 13462087680 is 8678026431.

13462087680 is a `hidden beast` number, since 13 + 4 + 620 + 8 + 7 + 6 + 8 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184412124 + ... + 184412196.

It is an arithmetic number, because the mean of its divisors is an integer number (68181750).

Almost surely, 2^13462087680 is an apocalyptic number.

13462087680 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 13462087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26181792000).

13462087680 is an abundant number, since it is smaller than the sum of its proper divisors (38901496320).

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

13462087680 is a wasteful number, since it uses less digits than its factorization.

13462087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13462087680 in words is "thirteen billion, four hundred sixty-two million, eighty-seven thousand, six hundred eighty".