6815677440 has 704 divisors, whose sum is σ = 26741352960. Its totient is φ = 1458831360.

The previous prime is 6815677439. The next prime is 6815677441. The reversal of 6815677440 is 447765186.

It is an interprime number because it is at equal distance from previous prime (6815677439) and next prime (6815677441).

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×6815677440² = 92906917932249907200, which contains 22 as substring.

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 6815677440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815677441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63697867 + ... + 63697973.

Almost surely, 2^6815677440 is an apocalyptic number.

6815677440 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 6815677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370676480).

6815677440 is an abundant number, since it is smaller than the sum of its proper divisors (19925675520).

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

6815677440 is a wasteful number, since it uses less digits than its factorization.

6815677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 6815677440 is about 82557.1162287056. The cubic root of 6815677440 is about 1895.9913118938.

The spelling of 6815677440 in words is "six billion, eight hundred fifteen million, six hundred seventy-seven thousand, four hundred forty".