6749400 has 96 divisors (see below), whose sum is σ = 23927040. Its totient is φ = 1541760.

The previous prime is 6749399. The next prime is 6749401. The reversal of 6749400 is 49476.

It is an interprime number because it is at equal distance from previous prime (6749399) and next prime (6749401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6749401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (249240).

Almost surely, 2^6749400 is an apocalyptic number.

6749400 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 6749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963520).

6749400 is an abundant number, since it is smaller than the sum of its proper divisors (17177640).

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

6749400 is a wasteful number, since it uses less digits than its factorization.

6749400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6749400 is about 2597.9607387334. The cubic root of 6749400 is about 188.9825576692.

The spelling of 6749400 in words is "six million, seven hundred forty-nine thousand, four hundred".