6443680 has 96 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 2297856.

The previous prime is 6443677. The next prime is 6443719. The reversal of 6443680 is 863446.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62509 + ... + 62611.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^6443680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

6443680 is an abundant number, since it is smaller than the sum of its proper divisors (10539104).

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

6443680 is a wasteful number, since it uses less digits than its factorization.

6443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6443680 is about 2538.4404661130. The cubic root of 6443680 is about 186.0849806305.

It can be divided in two parts, 64436 and 80, that added together give a square (64516 = 254²).

The spelling of 6443680 in words is "six million, four hundred forty-three thousand, six hundred eighty".