6407676 has 54 divisors (see below), whose sum is σ = 17815616. Its totient is φ = 1940400.

The previous prime is 6407671. The next prime is 6407701. The reversal of 6407676 is 6767046.

6407676 is a `hidden beast` number, since 640 + 7 + 6 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6407676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3621 + ... + 5091.

Almost surely, 2^6407676 is an apocalyptic number.

6407676 is a gapful number since it is divisible by the number (66) 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 6407676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907808).

6407676 is an abundant number, since it is smaller than the sum of its proper divisors (11407940).

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

6407676 is a wasteful number, since it uses less digits than its factorization.

6407676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6407676 is about 2531.3387762210. The cubic root of 6407676 is about 185.7377504305.

The spelling of 6407676 in words is "six million, four hundred seven thousand, six hundred seventy-six".