6742500 has 120 divisors (see below), whose sum is σ = 20993280. Its totient is φ = 1680000.

The previous prime is 6742493. The next prime is 6742507. The reversal of 6742500 is 52476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6742493) and next prime (6742507).

It is a super-2 number, since 2×6742500² = 90922612500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6742507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217485 + ... + 217515.

It is an arithmetic number, because the mean of its divisors is an integer number (174944).

Almost surely, 2^6742500 is an apocalyptic number.

6742500 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 6742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496640).

6742500 is an abundant number, since it is smaller than the sum of its proper divisors (14250780).

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

6742500 is a wasteful number, since it uses less digits than its factorization.

6742500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 6742500 is about 2596.6324345198. The cubic root of 6742500 is about 188.9181359300.

Subtracting from 6742500 its sum of digits (24), we obtain a palindrome (6742476).

Adding to 6742500 its reverse (52476), we get a palindrome (6794976).

The spelling of 6742500 in words is "six million, seven hundred forty-two thousand, five hundred".