6344774400 has 432 divisors, whose sum is σ = 21898598400. Its totient is φ = 1616609280.

The previous prime is 6344774363. The next prime is 6344774407. The reversal of 6344774400 is 44774436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6344774407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71289556 + ... + 71289644.

It is an arithmetic number, because the mean of its divisors is an integer number (50691200).

Almost surely, 2^6344774400 is an apocalyptic number.

6344774400 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 6344774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949299200).

6344774400 is an abundant number, since it is smaller than the sum of its proper divisors (15553824000).

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

6344774400 is a wasteful number, since it uses less digits than its factorization.

6344774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The square root of 6344774400 is about 79654.0921735977. The cubic root of 6344774400 is about 1851.2797962190.

The spelling of 6344774400 in words is "six billion, three hundred forty-four million, seven hundred seventy-four thousand, four hundred".