6870643200 has 720 divisors, whose sum is σ = 26846957280. Its totient is φ = 1672151040.

The previous prime is 6870643189. The next prime is 6870643201. The reversal of 6870643200 is 23460786.

6870643200 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6870643201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94118364 + ... + 94118436.

Almost surely, 2^6870643200 is an apocalyptic number.

6870643200 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 6870643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423478640).

6870643200 is an abundant number, since it is smaller than the sum of its proper divisors (19976314080).

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

6870643200 is a wasteful number, since it uses less digits than its factorization.

6870643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6870643200 is about 82889.3431027174. The cubic root of 6870643200 is about 1901.0744799694.

The spelling of 6870643200 in words is "six billion, eight hundred seventy million, six hundred forty-three thousand, two hundred".