6853766400 has 756 divisors, whose sum is σ = 27633483948. Its totient is φ = 1672151040.

The previous prime is 6853766383. The next prime is 6853766411. The reversal of 6853766400 is 46673586.

It can be written as a sum of positive squares in 6 ways, for example, as 2598552576 + 4255213824 = 50976^2 + 65232^2 .

It is a super-2 number, since 2×6853766400² = 93948227731537920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60652744 + ... + 60652856.

Almost surely, 2^6853766400 is an apocalyptic number.

6853766400 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 6853766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816741974).

6853766400 is an abundant number, since it is smaller than the sum of its proper divisors (20779717548).

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

6853766400 is a wasteful number, since it uses less digits than its factorization.

6853766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6853766400 is about 82787.4773139030. The cubic root of 6853766400 is about 1899.5166268061.

The spelling of 6853766400 in words is "six billion, eight hundred fifty-three million, seven hundred sixty-six thousand, four hundred".