6218437680 has 480 divisors, whose sum is σ = 25972337664. Its totient is φ = 1298294784.

The previous prime is 6218437663. The next prime is 6218437681. The reversal of 6218437680 is 867348126.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6218437681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7010197 + ... + 7011083.

Almost surely, 2^6218437680 is an apocalyptic number.

6218437680 is a gapful number since it is divisible by the number (60) 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 6218437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986168832).

6218437680 is an abundant number, since it is smaller than the sum of its proper divisors (19753899984).

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

6218437680 is a wasteful number, since it uses less digits than its factorization.

6218437680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6218437680 is about 78857.0712111476. The cubic root of 6218437680 is about 1838.9098063024.

The spelling of 6218437680 in words is "six billion, two hundred eighteen million, four hundred thirty-seven thousand, six hundred eighty".