6218979984 has 320 divisors, whose sum is σ = 22741401600. Its totient is φ = 1584064512.

The previous prime is 6218979983. The next prime is 6218980007. The reversal of 6218979984 is 4899798126.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6218979983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973569 + ... + 979935.

It is an arithmetic number, because the mean of its divisors is an integer number (71066880).

Almost surely, 2^6218979984 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 6218979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370700800).

6218979984 is an abundant number, since it is smaller than the sum of its proper divisors (16522421616).

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

6218979984 is a wasteful number, since it uses less digits than its factorization.

6218979984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6415 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 6218979984 is about 78860.5096610464. The cubic root of 6218979984 is about 1838.9632612701.

The spelling of 6218979984 in words is "six billion, two hundred eighteen million, nine hundred seventy-nine thousand, nine hundred eighty-four".