6271664220 has 192 divisors, whose sum is σ = 20091254400. Its totient is φ = 1623214080.

The previous prime is 6271664213. The next prime is 6271664249. The reversal of 6271664220 is 224661726.

6271664220 is a `hidden beast` number, since 6 + 2 + 7 + 1 + 6 + 642 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5069442 + ... + 5070678.

It is an arithmetic number, because the mean of its divisors is an integer number (104641950).

Almost surely, 2^6271664220 is an apocalyptic number.

6271664220 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 6271664220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045627200).

6271664220 is an abundant number, since it is smaller than the sum of its proper divisors (13819590180).

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

6271664220 is a wasteful number, since it uses less digits than its factorization.

6271664220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6271664220 is about 79193.8395331354. The cubic root of 6271664220 is about 1844.1416061107.

The spelling of 6271664220 in words is "six billion, two hundred seventy-one million, six hundred sixty-four thousand, two hundred twenty".