6812897280 has 624 divisors, whose sum is σ = 26534121984. Its totient is φ = 1486356480.

The previous prime is 6812897261. The next prime is 6812897281. The reversal of 6812897280 is 827982186.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6812897281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93327324 + ... + 93327396.

Almost surely, 2^6812897280 is an apocalyptic number.

6812897280 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 6812897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267060992).

6812897280 is an abundant number, since it is smaller than the sum of its proper divisors (19721224704).

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

6812897280 is a wasteful number, since it uses less digits than its factorization.

6812897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 6812897280 is about 82540.2767138565. The cubic root of 6812897280 is about 1895.7334810263.

The spelling of 6812897280 in words is "six billion, eight hundred twelve million, eight hundred ninety-seven thousand, two hundred eighty".