13706340480 has 640 divisors, whose sum is σ = 56623121280. Its totient is φ = 3094806528.

The previous prime is 13706340437. The next prime is 13706340493. The reversal of 13706340480 is 8404360731.

13706340480 is a `hidden beast` number, since 13 + 7 + 0 + 634 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38827984 + ... + 38828336.

It is an arithmetic number, because the mean of its divisors is an integer number (88473627).

Almost surely, 2^13706340480 is an apocalyptic number.

13706340480 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 13706340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311560640).

13706340480 is an abundant number, since it is smaller than the sum of its proper divisors (42916780800).

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

13706340480 is a wasteful number, since it uses less digits than its factorization.

13706340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13706340480 in words is "thirteen billion, seven hundred six million, three hundred forty thousand, four hundred eighty".