6217740144 has 840 divisors, whose sum is σ = 24473826432. Its totient is φ = 1508855040.

The previous prime is 6217740107. The next prime is 6217740149. The reversal of 6217740144 is 4410477126.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6217740099 and 6217740108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6217740149) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 144598587 + ... + 144598629.

Almost surely, 2^6217740144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6217740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236913216).

6217740144 is an abundant number, since it is smaller than the sum of its proper divisors (18256086288).

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

6217740144 is a wasteful number, since it uses less digits than its factorization.

6217740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6217740144 is about 78852.6483004851. The cubic root of 6217740144 is about 1838.8410455289.

The spelling of 6217740144 in words is "six billion, two hundred seventeen million, seven hundred forty thousand, one hundred forty-four".