6677640000 has 490 divisors, whose sum is σ = 24934619930. Its totient is φ = 1772928000.

The previous prime is 6677639999. The next prime is 6677640017. The reversal of 6677640000 is 467766.

6677640000 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1092170304 + 5585469696 = 33048^2 + 74736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29159886 + ... + 29160114.

Almost surely, 2^6677640000 is an apocalyptic number.

6677640000 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 6677640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467309965).

6677640000 is an abundant number, since it is smaller than the sum of its proper divisors (18256979930).

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

6677640000 is an frugal number, since it uses more digits than its factorization.

6677640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6677640000 is about 81716.8281322764. The cubic root of 6677640000 is about 1883.1041219122.

The spelling of 6677640000 in words is "six billion, six hundred seventy-seven million, six hundred forty thousand".