5645740800 has 648 divisors, whose sum is σ = 23014058256. Its totient is φ = 1211105280.

The previous prime is 5645740787. The next prime is 5645740811. The reversal of 5645740800 is 80475465.

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, 15993424 + ... + 15993776.

It is an arithmetic number, because the mean of its divisors is an integer number (35515522).

Almost surely, 2^5645740800 is an apocalyptic number.

5645740800 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 5645740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507029128).

5645740800 is an abundant number, since it is smaller than the sum of its proper divisors (17368317456).

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

5645740800 is a wasteful number, since it uses less digits than its factorization.

5645740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 5645740800 is about 75138.1447734771. The cubic root of 5645740800 is about 1780.6298322426.

The spelling of 5645740800 in words is "five billion, six hundred forty-five million, seven hundred forty thousand, eight hundred".