6835046400 has 864 divisors, whose sum is σ = 30312434880. Its totient is φ = 1433272320.

The previous prime is 6835046369. The next prime is 6835046419. The reversal of 6835046400 is 46405386.

6835046400 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41932719 + ... + 41932881.

Almost surely, 2^6835046400 is an apocalyptic number.

6835046400 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 6835046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156217440).

6835046400 is an abundant number, since it is smaller than the sum of its proper divisors (23477388480).

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

6835046400 is a wasteful number, since it uses less digits than its factorization.

6835046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6835046400 is about 82674.3394288699. The cubic root of 6835046400 is about 1897.7856381798.

The spelling of 6835046400 in words is "six billion, eight hundred thirty-five million, forty-six thousand, four hundred".