6814402560 has 576 divisors, whose sum is σ = 28233878400. Its totient is φ = 1554481152.

The previous prime is 6814402559. The next prime is 6814402577. The reversal of 6814402560 is 652044186.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547269 + ... + 13547771.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^6814402560 is an apocalyptic number.

6814402560 is a gapful number since it is divisible by the number (60) 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 6814402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

6814402560 is an abundant number, since it is smaller than the sum of its proper divisors (21419475840).

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

6814402560 is a wasteful number, since it uses less digits than its factorization.

6814402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6814402560 is about 82549.3946676776. The cubic root of 6814402560 is about 1895.8730887653.

The spelling of 6814402560 in words is "six billion, eight hundred fourteen million, four hundred two thousand, five hundred sixty".