6906221568 has 176 divisors, whose sum is σ = 20535504000. Its totient is φ = 2292793344.

The previous prime is 6906221563. The next prime is 6906221573. The reversal of 6906221568 is 8651226096.

6906221568 is a `hidden beast` number, since 6 + 9 + 0 + 62 + 21 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (6906221563) and next prime (6906221573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6906221563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12137188 + ... + 12137756.

It is an arithmetic number, because the mean of its divisors is an integer number (116679000).

Almost surely, 2^6906221568 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 6906221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267752000).

6906221568 is an abundant number, since it is smaller than the sum of its proper divisors (13629282432).

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

6906221568 is a wasteful number, since it uses less digits than its factorization.

6906221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6906221568 is about 83103.6796297252. The cubic root of 6906221568 is about 1904.3502874576.

The spelling of 6906221568 in words is "six billion, nine hundred six million, two hundred twenty-one thousand, five hundred sixty-eight".