6742724400 has 180 divisors, whose sum is σ = 23439066768. Its totient is φ = 1794992640.

The previous prime is 6742724393. The next prime is 6742724423. The reversal of 6742724400 is 44272476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2781589 + ... + 2784011.

Almost surely, 2^6742724400 is an apocalyptic number.

6742724400 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 6742724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719533384).

6742724400 is an abundant number, since it is smaller than the sum of its proper divisors (16696342368).

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

6742724400 is a wasteful number, since it uses less digits than its factorization.

6742724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 6742724400 is about 82114.0937963758. The cubic root of 6742724400 is about 1889.2023172830.

Adding to 6742724400 its reverse (44272476), we get a palindrome (6786996876).

The spelling of 6742724400 in words is "six billion, seven hundred forty-two million, seven hundred twenty-four thousand, four hundred".