6457672 has 32 divisors (see below), whose sum is σ = 13466880. Its totient is φ = 2882880.

The previous prime is 6457669. The next prime is 6457681. The reversal of 6457672 is 2767546.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 4225.

It is an arithmetic number, because the mean of its divisors is an integer number (420840).

Almost surely, 2^6457672 is an apocalyptic number.

6457672 is a gapful number since it is divisible by the number (62) 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 6457672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733440).

6457672 is an abundant number, since it is smaller than the sum of its proper divisors (7009208).

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

6457672 is a wasteful number, since it uses less digits than its factorization.

6457672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 6457672 is about 2541.1949944859. The cubic root of 6457672 is about 186.2195734270.

The spelling of 6457672 in words is "six million, four hundred fifty-seven thousand, six hundred seventy-two".