6677360340 has 144 divisors (see below), whose sum is σ = 21779884224. Its totient is φ = 1524096000.

The previous prime is 6677360329. The next prime is 6677360353. The reversal of 6677360340 is 430637766.

It is a super-2 number, since 2×6677360340² = 89174282220409831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6677360292 and 6677360301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3088860 + ... + 3091020.

It is an arithmetic number, because the mean of its divisors is an integer number (151249196).

Almost surely, 2^6677360340 is an apocalyptic number.

6677360340 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 6677360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889942112).

6677360340 is an abundant number, since it is smaller than the sum of its proper divisors (15102523884).

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

6677360340 is a wasteful number, since it uses less digits than its factorization.

6677360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 6677360340 is about 81715.1169613065. The cubic root of 6677360340 is about 1883.0778333706.

The spelling of 6677360340 in words is "six billion, six hundred seventy-seven million, three hundred sixty thousand, three hundred forty".