6221681280 has 160 divisors (see below), whose sum is σ = 22218932340. Its totient is φ = 1659101184.

The previous prime is 6221681227. The next prime is 6221681281. The reversal of 6221681280 is 821861226.

6221681280 is a `hidden beast` number, since 622 + 1 + 6 + 8 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5968489536 + 253191744 = 77256^2 + 15912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (6221681281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8169 + ... + 111848.

Almost surely, 2^6221681280 is an apocalyptic number.

6221681280 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 6221681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109466170).

6221681280 is an abundant number, since it is smaller than the sum of its proper divisors (15997251060).

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

6221681280 is a wasteful number, since it uses less digits than its factorization.

6221681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120048 (or 120027 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6221681280 is about 78877.6348529797. The cubic root of 6221681280 is about 1839.2294820460.

The spelling of 6221681280 in words is "six billion, two hundred twenty-one million, six hundred eighty-one thousand, two hundred eighty".