6829156656 has 300 divisors, whose sum is σ = 23741129280. Its totient is φ = 1887701760.

The previous prime is 6829156639. The next prime is 6829156661. The reversal of 6829156656 is 6566519286.

6829156656 is a `hidden beast` number, since 6 + 8 + 29 + 1 + 566 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1966890 + ... + 1970358.

Almost surely, 2^6829156656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6829156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870564640).

6829156656 is an abundant number, since it is smaller than the sum of its proper divisors (16911972624).

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

6829156656 is a wasteful number, since it uses less digits than its factorization.

6829156656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3512 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 6829156656 is about 82638.7116066072. The cubic root of 6829156656 is about 1897.2403756708.

The spelling of 6829156656 in words is "six billion, eight hundred twenty-nine million, one hundred fifty-six thousand, six hundred fifty-six".