6853961400 has 768 divisors, whose sum is σ = 27358248960. Its totient is φ = 1393459200.

The previous prime is 6853961381. The next prime is 6853961441. The reversal of 6853961400 is 41693586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53968137 + ... + 53968263.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^6853961400 is an apocalyptic number.

6853961400 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 6853961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679124480).

6853961400 is an abundant number, since it is smaller than the sum of its proper divisors (20504287560).

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

6853961400 is a wasteful number, since it uses less digits than its factorization.

6853961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6853961400 is about 82788.6550198758. The cubic root of 6853961400 is about 1899.5346413404.

The spelling of 6853961400 in words is "six billion, eight hundred fifty-three million, nine hundred sixty-one thousand, four hundred".