10020644352 has 320 divisors, whose sum is σ = 31164672000. Its totient is φ = 3175096320.

The previous prime is 10020644351. The next prime is 10020644371. The reversal of 10020644352 is 25344602001.

10020644352 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 644 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020644351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28712274 + ... + 28712622.

It is an arithmetic number, because the mean of its divisors is an integer number (97389600).

Almost surely, 2^10020644352 is an apocalyptic number.

10020644352 is a gapful number since it is divisible by the number (12) 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 10020644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582336000).

10020644352 is an abundant number, since it is smaller than the sum of its proper divisors (21144027648).

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

10020644352 is an equidigital number, since it uses as much as digits as its factorization.

10020644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10020644352 in words is "ten billion, twenty million, six hundred forty-four thousand, three hundred fifty-two".