6855926400 has 384 divisors, whose sum is σ = 25457894400. Its totient is φ = 1801543680.

The previous prime is 6855926387. The next prime is 6855926401. The reversal of 6855926400 is 46295586.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (6855926401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6306657 + ... + 6307743.

It is an arithmetic number, because the mean of its divisors is an integer number (66296600).

Almost surely, 2^6855926400 is an apocalyptic number.

6855926400 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 6855926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728947200).

6855926400 is an abundant number, since it is smaller than the sum of its proper divisors (18601968000).

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

6855926400 is a wasteful number, since it uses less digits than its factorization.

6855926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6855926400 is about 82800.5217374867. The cubic root of 6855926400 is about 1899.7161533500.

The spelling of 6855926400 in words is "six billion, eight hundred fifty-five million, nine hundred twenty-six thousand, four hundred".