6854745600 has 360 divisors, whose sum is σ = 24752630760. Its totient is φ = 1811496960.

The previous prime is 6854745589. The next prime is 6854745617. The reversal of 6854745600 is 65474586.

6854745600 is a `hidden beast` number, since 6 + 8 + 547 + 45 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 18086211 + ... + 18086589.

Almost surely, 2^6854745600 is an apocalyptic number.

6854745600 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 6854745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376315380).

6854745600 is an abundant number, since it is smaller than the sum of its proper divisors (17897885160).

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

6854745600 is a wasteful number, since it uses less digits than its factorization.

6854745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6854745600 is about 82793.3910405897. The cubic root of 6854745600 is about 1899.6070840330.

The spelling of 6854745600 in words is "six billion, eight hundred fifty-four million, seven hundred forty-five thousand, six hundred".