5641714800 has 600 divisors, whose sum is σ = 21566869632. Its totient is φ = 1410048000.

The previous prime is 5641714733. The next prime is 5641714801. The reversal of 5641714800 is 84171465.

It is a happy number.

5641714800 is a `hidden beast` number, since 5 + 6 + 4 + 171 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641714801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41180332 + ... + 41180468.

Almost surely, 2^5641714800 is an apocalyptic number.

5641714800 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 5641714800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783434816).

5641714800 is an abundant number, since it is smaller than the sum of its proper divisors (15925154832).

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

5641714800 is a wasteful number, since it uses less digits than its factorization.

5641714800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5641714800 is about 75111.3493421600. The cubic root of 5641714800 is about 1780.2064735450.

It can be divided in two parts, 56417 and 14800, that added together give a palindrome (71217).

The spelling of 5641714800 in words is "five billion, six hundred forty-one million, seven hundred fourteen thousand, eight hundred".