6812966160 has 1280 divisors, whose sum is σ = 33117880320. Its totient is φ = 1240842240.

The previous prime is 6812966123. The next prime is 6812966161. The reversal of 6812966160 is 616692186.

6812966160 is a `hidden beast` number, since 6 + 8 + 1 + 29 + 6 + 616 + 0 = 666.

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 (6812966161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49729612 + ... + 49729748.

It is an arithmetic number, because the mean of its divisors is an integer number (25873344).

Almost surely, 2^6812966160 is an apocalyptic number.

6812966160 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 6812966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558940160).

6812966160 is an abundant number, since it is smaller than the sum of its proper divisors (26304914160).

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

6812966160 is a wasteful number, since it uses less digits than its factorization.

6812966160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6812966160 is about 82540.6939636444. The cubic root of 6812966160 is about 1895.7398697758.

The spelling of 6812966160 in words is "six billion, eight hundred twelve million, nine hundred sixty-six thousand, one hundred sixty".