6676400880 has 240 divisors, whose sum is σ = 24416964000. Its totient is φ = 1628411904.

The previous prime is 6676400867. The next prime is 6676400911. The reversal of 6676400880 is 880046766.

It is a happy number.

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

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

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, 388306 + ... + 405134.

It is an arithmetic number, because the mean of its divisors is an integer number (101737350).

Almost surely, 2^6676400880 is an apocalyptic number.

6676400880 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 6676400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208482000).

6676400880 is an abundant number, since it is smaller than the sum of its proper divisors (17740563120).

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

6676400880 is a wasteful number, since it uses less digits than its factorization.

6676400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16896 (or 16887 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6676400880 is about 81709.2459884437. The cubic root of 6676400880 is about 1882.9876368304.

The spelling of 6676400880 in words is "six billion, six hundred seventy-six million, four hundred thousand, eight hundred eighty".