6220681632 has 288 divisors, whose sum is σ = 20123006400. Its totient is φ = 1868106240.

The previous prime is 6220681631. The next prime is 6220681639. The reversal of 6220681632 is 2361860226.

It is a tau number, because it is divible by the number of its divisors (288).

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 (6220681631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16413219 + ... + 16413597.

It is an arithmetic number, because the mean of its divisors is an integer number (69871550).

Almost surely, 2^6220681632 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 6220681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061503200).

6220681632 is an abundant number, since it is smaller than the sum of its proper divisors (13902324768).

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

6220681632 is a wasteful number, since it uses less digits than its factorization.

6220681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6220681632 is about 78871.2978972706. The cubic root of 6220681632 is about 1839.1309727381.

The spelling of 6220681632 in words is "six billion, two hundred twenty million, six hundred eighty-one thousand, six hundred thirty-two".