6122172672 has 288 divisors, whose sum is σ = 22573608960. Its totient is φ = 1590036480.

The previous prime is 6122172619. The next prime is 6122172691. The reversal of 6122172672 is 2762712216.

It is a happy number.

6122172672 is a `hidden beast` number, since 612 + 2 + 17 + 26 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526473 + ... + 537975.

Almost surely, 2^6122172672 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 6122172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286804480).

6122172672 is an abundant number, since it is smaller than the sum of its proper divisors (16451436288).

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

6122172672 is a wasteful number, since it uses less digits than its factorization.

6122172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11526 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 6122172672 is about 78244.3139914972. The cubic root of 6122172672 is about 1829.3712863086.

Adding to 6122172672 its reverse (2762712216), we get a palindrome (8884884888).

The spelling of 6122172672 in words is "six billion, one hundred twenty-two million, one hundred seventy-two thousand, six hundred seventy-two".