13780376064 has 480 divisors, whose sum is σ = 49868058240. Its totient is φ = 3566370816.

The previous prime is 13780376063. The next prime is 13780376083. The reversal of 13780376064 is 46067308731.

13780376064 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 37 + 606 + 4 = 666.

13780376064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13780376063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24740074 + ... + 24740630.

It is an arithmetic number, because the mean of its divisors is an integer number (103891788).

Almost surely, 2^13780376064 is an apocalyptic number.

13780376064 is a gapful number since it is divisible by the number (14) 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 13780376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

13780376064 is an abundant number, since it is smaller than the sum of its proper divisors (36087682176).

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

13780376064 is a wasteful number, since it uses less digits than its factorization.

13780376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13780376064 in words is "thirteen billion, seven hundred eighty million, three hundred seventy-six thousand, sixty-four".