6677721600 has 240 divisors, whose sum is σ = 24066361440. Its totient is φ = 1618739200.

The previous prime is 6677721587. The next prime is 6677721613. The reversal of 6677721600 is 61277766.

It is an interprime number because it is at equal distance from previous prime (6677721587) and next prime (6677721613).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414496 + ... + 430304.

It is an arithmetic number, because the mean of its divisors is an integer number (100276506).

Almost surely, 2^6677721600 is an apocalyptic number.

6677721600 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 6677721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033180720).

6677721600 is an abundant number, since it is smaller than the sum of its proper divisors (17388639840).

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

6677721600 is a wasteful number, since it uses less digits than its factorization.

6677721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 6677721600 is about 81717.3274159159. The cubic root of 6677721600 is about 1883.1117923202. Note that the first 3 decimals are identical.

The spelling of 6677721600 in words is "six billion, six hundred seventy-seven million, seven hundred twenty-one thousand, six hundred".