5638670336000 has 240 divisors, whose sum is σ = 15156354879120. Its totient is φ = 2081960755200.

The previous prime is 5638670335937. The next prime is 5638670336009. The reversal of 5638670336000 is 6330768365.

It can be written as a sum of positive squares in 8 ways, for example, as 1325040418816 + 4313629917184 = 1151104^2 + 2076928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638670336009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26518106 + ... + 26729894.

It is an arithmetic number, because the mean of its divisors is an integer number (63151478663).

Almost surely, 2^{5638670336000} is an apocalyptic number.

5638670336000 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 5638670336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578177439560).

5638670336000 is an abundant number, since it is smaller than the sum of its proper divisors (9517684543120).

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

5638670336000 is an equidigital number, since it uses as much as digits as its factorization.

5638670336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211845 (or 211809 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 5638670336000 in words is "five trillion, six hundred thirty-eight billion, six hundred seventy million, three hundred thirty-six thousand".