6824079360 has 832 divisors, whose sum is σ = 29062978560. Its totient is φ = 1486356480.

The previous prime is 6824079313. The next prime is 6824079439. The reversal of 6824079360 is 639704286.

It is a super-2 number, since 2×6824079360² = 93136118223156019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158699499 + ... + 158699541.

Almost surely, 2^6824079360 is an apocalyptic number.

6824079360 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 6824079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14531489280).

6824079360 is an abundant number, since it is smaller than the sum of its proper divisors (22238899200).

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

6824079360 is a wasteful number, since it uses less digits than its factorization.

6824079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6824079360 is about 82607.9860546182. The cubic root of 6824079360 is about 1896.7700765452.

The spelling of 6824079360 in words is "six billion, eight hundred twenty-four million, seventy-nine thousand, three hundred sixty".