10007968009 has 8 divisors (see below), whose sum is σ = 10811815560. Its totient is φ = 9208978176.

The previous prime is 10007967997. The next prime is 10007968027. The reversal of 10007968009 is 90086970001.

It can be written as a sum of positive squares in 4 ways, for example, as 409455225 + 9598512784 = 20235^2 + 97972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007968009 - 2¹³ = 10007959817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10007968039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210144 + ... + 1218385.

It is an arithmetic number, because the mean of its divisors is an integer number (1351476945).

Almost surely, 2^10007968009 is an apocalyptic number.

It is an amenable number.

10007968009 is a deficient number, since it is larger than the sum of its proper divisors (803847551).

10007968009 is a wasteful number, since it uses less digits than its factorization.

10007968009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428859.

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 10007968009 in words is "ten billion, seven million, nine hundred sixty-eight thousand, nine".