6946867200 has 864 divisors, whose sum is σ = 29175007680. Its totient is φ = 1445068800.

The previous prime is 6946867181. The next prime is 6946867201. The reversal of 6946867200 is 27686496.

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 6946867200.

It is not an unprimeable number, because it can be changed into a prime (6946867201) 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, 97843165 + ... + 97843235.

It is an arithmetic number, because the mean of its divisors is an integer number (33767370).

Almost surely, 2^6946867200 is an apocalyptic number.

6946867200 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 6946867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587503840).

6946867200 is an abundant number, since it is smaller than the sum of its proper divisors (22228140480).

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

6946867200 is a wasteful number, since it uses less digits than its factorization.

6946867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6946867200 is about 83347.8685990230. The cubic root of 6946867200 is about 1908.0789141488.

The spelling of 6946867200 in words is "six billion, nine hundred forty-six million, eight hundred sixty-seven thousand, two hundred".