6758640 has 200 divisors, whose sum is σ = 27007200. Its totient is φ = 1534464.

The previous prime is 6758593. The next prime is 6758659. The reversal of 6758640 is 468576.

It is a happy number.

6758640 is a `hidden beast` number, since 6 + 7 + 5 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6758595 and 6758604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45286 + ... + 45434.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 2^6758640 is an apocalyptic number.

6758640 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 6758640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503600).

6758640 is an abundant number, since it is smaller than the sum of its proper divisors (20248560).

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

6758640 is a wasteful number, since it uses less digits than its factorization.

6758640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6758640 is about 2599.7384483828. The cubic root of 6758640 is about 189.0687580516.

Subtracting from 6758640 its reverse (468576), we obtain a square (6290064 = 2508²).

It can be divided in two parts, 675 and 8640, that multiplied together give a cube (5832000 = 180³).

The spelling of 6758640 in words is "six million, seven hundred fifty-eight thousand, six hundred forty".