10024320672 has 96 divisors (see below), whose sum is σ = 29255385600. Its totient is φ = 3339408384.

The previous prime is 10024320629. The next prime is 10024320679. The reversal of 10024320672 is 27602342001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10024320679) 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, 2251953 + ... + 2256399.

It is an arithmetic number, because the mean of its divisors is an integer number (304743600).

Almost surely, 2^10024320672 is an apocalyptic number.

10024320672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024320672 is an abundant number, since it is smaller than the sum of its proper divisors (19231064928).

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

10024320672 is a wasteful number, since it uses less digits than its factorization.

10024320672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10024320672 its reverse (27602342001), we get a palindrome (37626662673).

The spelling of 10024320672 in words is "ten billion, twenty-four million, three hundred twenty thousand, six hundred seventy-two".