5648350400 has 504 divisors, whose sum is σ = 18431963136. Its totient is φ = 1654732800.

The previous prime is 5648350303. The next prime is 5648350417. The reversal of 5648350400 is 40538465.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44475137 + ... + 44475263.

Almost surely, 2^5648350400 is an apocalyptic number.

5648350400 is a gapful number since it is divisible by the number (50) 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 5648350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215981568).

5648350400 is an abundant number, since it is smaller than the sum of its proper divisors (12783612736).

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

5648350400 is a wasteful number, since it uses less digits than its factorization.

5648350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5648350400 is about 75155.5081148415. The cubic root of 5648350400 is about 1780.9041402572.

Adding to 5648350400 its reverse (40538465), we get a palindrome (5688888865).

The spelling of 5648350400 in words is "five billion, six hundred forty-eight million, three hundred fifty thousand, four hundred".