6716400 has 120 divisors (see below), whose sum is σ = 22372080. Its totient is φ = 1720320.

The previous prime is 6716393. The next prime is 6716401. The reversal of 6716400 is 46176.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6716400² = 90220057920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6716401) 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, 34704 + ... + 34896.

It is an arithmetic number, because the mean of its divisors is an integer number (186434).

Almost surely, 2^6716400 is an apocalyptic number.

6716400 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 6716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11186040).

6716400 is an abundant number, since it is smaller than the sum of its proper divisors (15655680).

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

6716400 is a wasteful number, since it uses less digits than its factorization.

6716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6716400 is about 2591.6018212681. The cubic root of 6716400 is about 188.6740553793.

The spelling of 6716400 in words is "six million, seven hundred sixteen thousand, four hundred".