6677003340 has 288 divisors, whose sum is σ = 24594845184. Its totient is φ = 1488637440.

The previous prime is 6677003329. The next prime is 6677003341. The reversal of 6677003340 is 433007766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6677003295 and 6677003304.

It is not an unprimeable number, because it can be changed into a prime (6677003341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1392427 + ... + 1397213.

It is an arithmetic number, because the mean of its divisors is an integer number (85398768).

Almost surely, 2^6677003340 is an apocalyptic number.

6677003340 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 6677003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297422592).

6677003340 is an abundant number, since it is smaller than the sum of its proper divisors (17917841844).

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

6677003340 is a wasteful number, since it uses less digits than its factorization.

6677003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 6677003340 is about 81712.9325137704. The cubic root of 6677003340 is about 1883.0442736637.

It can be divided in two parts, 667 and 7003340, that added together give a palindrome (7004007).

The spelling of 6677003340 in words is "six billion, six hundred seventy-seven million, three thousand, three hundred forty".