10006020648 has 192 divisors, whose sum is σ = 30875120640. Its totient is φ = 2904118272.

The previous prime is 10006020643. The next prime is 10006020653. The reversal of 10006020648 is 84602060001.

10006020648 is a `hidden beast` number, since 10 + 0 + 0 + 6 + 0 + 2 + 0 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (10006020643) and next prime (10006020653).

It is not an unprimeable number, because it can be changed into a prime (10006020643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568361 + ... + 1574727.

It is an arithmetic number, because the mean of its divisors is an integer number (160807920).

Almost surely, 2^10006020648 is an apocalyptic number.

10006020648 is a gapful number since it is divisible by the number (18) 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 10006020648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437560320).

10006020648 is an abundant number, since it is smaller than the sum of its proper divisors (20869099992).

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

10006020648 is a wasteful number, since it uses less digits than its factorization.

10006020648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6481 counting only the distinct ones).

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

Adding to 10006020648 its reverse (84602060001), we get a palindrome (94608080649).

The spelling of 10006020648 in words is "ten billion, six million, twenty thousand, six hundred forty-eight".