6677360640 has 312 divisors, whose sum is σ = 24518349648. Its totient is φ = 1675100160.

The previous prime is 6677360639. The next prime is 6677360647. The reversal of 6677360640 is 460637766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677360647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132375 + ... + 3134505.

It is an arithmetic number, because the mean of its divisors is an integer number (78584454).

Almost surely, 2^6677360640 is an apocalyptic number.

6677360640 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 6677360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259174824).

6677360640 is an abundant number, since it is smaller than the sum of its proper divisors (17840989008).

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

6677360640 is a wasteful number, since it uses less digits than its factorization.

6677360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 6677360640 is about 81715.1187969521. The cubic root of 6677360640 is about 1883.0778615715.

The spelling of 6677360640 in words is "six billion, six hundred seventy-seven million, three hundred sixty thousand, six hundred forty".