6677989920 has 336 divisors, whose sum is σ = 27036797760. Its totient is φ = 1526211072.

The previous prime is 6677989867. The next prime is 6677989931. The reversal of 6677989920 is 299897766.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 812391 + ... + 820569.

It is an arithmetic number, because the mean of its divisors is an integer number (80466660).

Almost surely, 2^6677989920 is an apocalyptic number.

6677989920 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 6677989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518398880).

6677989920 is an abundant number, since it is smaller than the sum of its proper divisors (20358807840).

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

6677989920 is an equidigital number, since it uses as much as digits as its factorization.

6677989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 6677989920 is about 81718.9691564939. The cubic root of 6677989920 is about 1883.1370139861.

The spelling of 6677989920 in words is "six billion, six hundred seventy-seven million, nine hundred eighty-nine thousand, nine hundred twenty".