6853756800 has 384 divisors, whose sum is σ = 25243384320. Its totient is φ = 1619968000.

The previous prime is 6853756757. The next prime is 6853756813. The reversal of 6853756800 is 86573586.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6853756800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4328809 + ... + 4330391.

It is an arithmetic number, because the mean of its divisors is an integer number (65737980).

Almost surely, 2^6853756800 is an apocalyptic number.

6853756800 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 6853756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621692160).

6853756800 is an abundant number, since it is smaller than the sum of its proper divisors (18389627520).

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

6853756800 is a wasteful number, since it uses less digits than its factorization.

6853756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 6853756800 is about 82787.4193340993. The cubic root of 6853756800 is about 1899.5157399279.

The spelling of 6853756800 in words is "six billion, eight hundred fifty-three million, seven hundred fifty-six thousand, eight hundred".