6812477760 has 224 divisors, whose sum is σ = 23743383552. Its totient is φ = 1641195520.

The previous prime is 6812477753. The next prime is 6812477767. The reversal of 6812477760 is 677742186.

It is an interprime number because it is at equal distance from previous prime (6812477753) and next prime (6812477767).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812477767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761589 + ... + 1765451.

It is an arithmetic number, because the mean of its divisors is an integer number (105997248).

Almost surely, 2^6812477760 is an apocalyptic number.

6812477760 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 6812477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871691776).

6812477760 is an abundant number, since it is smaller than the sum of its proper divisors (16930905792).

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

6812477760 is a wasteful number, since it uses less digits than its factorization.

6812477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 6812477760 is about 82537.7353699506. The cubic root of 6812477760 is about 1895.6945688277.

The spelling of 6812477760 in words is "six billion, eight hundred twelve million, four hundred seventy-seven thousand, seven hundred sixty".