6738480 has 180 divisors, whose sum is σ = 26462592. Its totient is φ = 1532160.

The previous prime is 6738461. The next prime is 6738481. The reversal of 6738480 is 848376.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×6738480² = 90814225420800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6738481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35185 + ... + 35375.

Almost surely, 2^6738480 is an apocalyptic number.

6738480 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 6738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

6738480 is an abundant number, since it is smaller than the sum of its proper divisors (19724112).

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

6738480 is a wasteful number, since it uses less digits than its factorization.

6738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6738480 is about 2595.8582395809. The cubic root of 6738480 is about 188.8805830001.

The spelling of 6738480 in words is "six million, seven hundred thirty-eight thousand, four hundred eighty".