10021063680 has 264 divisors, whose sum is σ = 35924850000. Its totient is φ = 2579791872.

The previous prime is 10021063673. The next prime is 10021063691. The reversal of 10021063680 is 8636012001.

10021063680 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 0 + 636 + 8 + 0 = 666.

It is a super-4 number, since 4×10021063680⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332571 + ... + 1340069.

Almost surely, 2^10021063680 is an apocalyptic number.

10021063680 is a gapful number since it is divisible by the number (10) 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 10021063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962425000).

10021063680 is an abundant number, since it is smaller than the sum of its proper divisors (25903786320).

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

10021063680 is a wasteful number, since it uses less digits than its factorization.

10021063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10021063680 its reverse (8636012001), we get a palindrome (18657075681).

The spelling of 10021063680 in words is "ten billion, twenty-one million, sixty-three thousand, six hundred eighty".