10224301680 has 80 divisors (see below), whose sum is σ = 35217046560. Its totient is φ = 2726479872.

The previous prime is 10224301663. The next prime is 10224301693. The reversal of 10224301680 is 8610342201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10224301680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2364577 + ... + 2368896.

It is an arithmetic number, because the mean of its divisors is an integer number (440213082).

Almost surely, 2^10224301680 is an apocalyptic number.

10224301680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224301680 is an abundant number, since it is smaller than the sum of its proper divisors (24992744880).

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

10224301680 is a wasteful number, since it uses less digits than its factorization.

10224301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733495 (or 4733483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10224301680 its reverse (8610342201), we get a palindrome (18834643881).

The spelling of 10224301680 in words is "ten billion, two hundred twenty-four million, three hundred one thousand, six hundred eighty".