6733980 has 144 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 1537920.

The previous prime is 6733957. The next prime is 6733997. The reversal of 6733980 is 893376.

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

It is a zygodrome in base 7.

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, 37531 + ... + 37709.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^6733980 is an apocalyptic number.

6733980 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 6733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

6733980 is an abundant number, since it is smaller than the sum of its proper divisors (16853220).

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

6733980 is a wasteful number, since it uses less digits than its factorization.

6733980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6733980 is about 2594.9913294653. The cubic root of 6733980 is about 188.8385284173.

The spelling of 6733980 in words is "six million, seven hundred thirty-three thousand, nine hundred eighty".