6414508880 has 80 divisors (see below), whose sum is σ = 16075637760. Its totient is φ = 2366267904.

The previous prime is 6414508853. The next prime is 6414508883. The reversal of 6414508880 is 888054146.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6414508880² = 82291848343197708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414508883) 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 15 ways as a sum of consecutive naturals, for example, 1540241 + ... + 1544399.

It is an arithmetic number, because the mean of its divisors is an integer number (200945472).

Almost surely, 2^6414508880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037818880).

6414508880 is an abundant number, since it is smaller than the sum of its proper divisors (9661128880).

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

6414508880 is a wasteful number, since it uses less digits than its factorization.

6414508880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 6414508880 is about 80090.6291647156. The cubic root of 6414508880 is about 1858.0374798889.

The spelling of 6414508880 in words is "six billion, four hundred fourteen million, five hundred eight thousand, eight hundred eighty".