6914910240 has 144 divisors (see below), whose sum is σ = 26968189248. Its totient is φ = 1580548608.

The previous prime is 6914910229. The next prime is 6914910263. The reversal of 6914910240 is 420194196.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 6914910195 and 6914910204.

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 23 ways as a sum of consecutive naturals, for example, 332922 + ... + 353081.

It is an arithmetic number, because the mean of its divisors is an integer number (187279092).

Almost surely, 2^6914910240 is an apocalyptic number.

6914910240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6914910240 is an abundant number, since it is smaller than the sum of its proper divisors (20053279008).

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

6914910240 is a wasteful number, since it uses less digits than its factorization.

6914910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686031 (or 686020 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6914910240 is about 83155.9392947972. The cubic root of 6914910240 is about 1905.1485696433.

The spelling of 6914910240 in words is "six billion, nine hundred fourteen million, nine hundred ten thousand, two hundred forty".