4172263680 has 144 divisors (see below), whose sum is σ = 14350351680. Its totient is φ = 1027006464.

The previous prime is 4172263679. The next prime is 4172263691. The reversal of 4172263680 is 863622714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8131 + ... + 91709.

It is an arithmetic number, because the mean of its divisors is an integer number (99655220).

Almost surely, 2^4172263680 is an apocalyptic number.

4172263680 is a gapful number since it is divisible by the number (40) 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 4172263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175175840).

4172263680 is an abundant number, since it is smaller than the sum of its proper divisors (10178088000).

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

4172263680 is a wasteful number, since it uses less digits than its factorization.

4172263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83616 (or 83602 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4172263680 is about 64593.0621661491. The cubic root of 4172263680 is about 1609.8691662262.

The spelling of 4172263680 in words is "four billion, one hundred seventy-two million, two hundred sixty-three thousand, six hundred eighty".