6825959424 has 252 divisors, whose sum is σ = 20636813184. Its totient is φ = 2257403904.

The previous prime is 6825959417. The next prime is 6825959431. The reversal of 6825959424 is 4249595286.

6825959424 is a `hidden beast` number, since 6 + 8 + 2 + 595 + 9 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6825959417) and next prime (6825959431).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53747649 + ... + 53747775.

Almost surely, 2^6825959424 is an apocalyptic number.

6825959424 is a gapful number since it is divisible by the number (64) 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 6825959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318406592).

6825959424 is an abundant number, since it is smaller than the sum of its proper divisors (13810853760).

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

6825959424 is an frugal number, since it uses more digits than its factorization.

6825959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 6825959424 is about 82619.3647034398. The cubic root of 6825959424 is about 1896.9442500618.

The spelling of 6825959424 in words is "six billion, eight hundred twenty-five million, nine hundred fifty-nine thousand, four hundred twenty-four".