6824844240 has 80 divisors (see below), whose sum is σ = 21185102400. Its totient is φ = 1817542656.

The previous prime is 6824844223. The next prime is 6824844263. The reversal of 6824844240 is 424484286.

It is a happy number.

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

It is a super-2 number, since 2×6824844240² = 93156997800522355200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6824844192 and 6824844201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166071 + ... + 203049.

It is an arithmetic number, because the mean of its divisors is an integer number (264813780).

Almost surely, 2^6824844240 is an apocalyptic number.

6824844240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6824844240 is an abundant number, since it is smaller than the sum of its proper divisors (14360258160).

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

6824844240 is a wasteful number, since it uses less digits than its factorization.

6824844240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The square root of 6824844240 is about 82612.6155015080. The cubic root of 6824844240 is about 1896.8409406730.

The spelling of 6824844240 in words is "six billion, eight hundred twenty-four million, eight hundred forty-four thousand, two hundred forty".