13164742080 has 840 divisors, whose sum is σ = 56042588448. Its totient is φ = 2872516608.

The previous prime is 13164742079. The next prime is 13164742091. The reversal of 13164742080 is 8024746131.

13164742080 is a `hidden beast` number, since 1 + 3 + 1 + 647 + 4 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 248391334 + ... + 248391386.

Almost surely, 2^13164742080 is an apocalyptic number.

13164742080 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 13164742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021294224).

13164742080 is an abundant number, since it is smaller than the sum of its proper divisors (42877846368).

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

13164742080 is an equidigital number, since it uses as much as digits as its factorization.

13164742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13164742080 in words is "thirteen billion, one hundred sixty-four million, seven hundred forty-two thousand, eighty".