6824040420 has 48 divisors (see below), whose sum is σ = 19178389440. Its totient is φ = 1812974976.

The previous prime is 6824040413. The next prime is 6824040427. The reversal of 6824040420 is 240404286.

It is an interprime number because it is at equal distance from previous prime (6824040413) and next prime (6824040427).

It is a super-3 number, since 3×6824040420³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6824040427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195262 + ... + 227541.

It is an arithmetic number, because the mean of its divisors is an integer number (399549780).

Almost surely, 2^6824040420 is an apocalyptic number.

6824040420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6824040420 is an abundant number, since it is smaller than the sum of its proper divisors (12354349020).

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

6824040420 is a wasteful number, since it uses less digits than its factorization.

6824040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423084 (or 423082 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 6824040420 is about 82607.7503627838. The cubic root of 6824040420 is about 1896.7664687146.

The spelling of 6824040420 in words is "six billion, eight hundred twenty-four million, forty thousand, four hundred twenty".