4169926656 has 576 divisors, whose sum is σ = 15312024000. Its totient is φ = 1128701952.

The previous prime is 4169926571. The next prime is 4169926669. The reversal of 4169926656 is 6566299614.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219469815 + ... + 219469833.

It is an arithmetic number, because the mean of its divisors is an integer number (26583375).

Almost surely, 2^4169926656 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 4169926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656012000).

4169926656 is an abundant number, since it is smaller than the sum of its proper divisors (11142097344).

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

4169926656 is an frugal number, since it uses more digits than its factorization.

4169926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 4169926656 is about 64574.9692682854. The cubic root of 4169926656 is about 1609.5685296214.

The spelling of 4169926656 in words is "four billion, one hundred sixty-nine million, nine hundred twenty-six thousand, six hundred fifty-six".