5640667347200 has 1728 divisors, whose sum is σ = 17343689932800. Its totient is φ = 1798491340800.

The previous prime is 5640667347187. The next prime is 5640667347283. The reversal of 5640667347200 is 27437660465.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 191 ways as a sum of consecutive naturals, for example, 63378284756 + ... + 63378284844.

It is an arithmetic number, because the mean of its divisors is an integer number (10036857600).

Almost surely, 2^{5640667347200} is an apocalyptic number.

5640667347200 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 5640667347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671844966400).

5640667347200 is an abundant number, since it is smaller than the sum of its proper divisors (11703022585600).

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

5640667347200 is a wasteful number, since it uses less digits than its factorization.

5640667347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 50.

The spelling of 5640667347200 in words is "five trillion, six hundred forty billion, six hundred sixty-seven million, three hundred forty-seven thousand, two hundred".