10061646336 has 280 divisors, whose sum is σ = 34456571424. Its totient is φ = 2874009600.

The previous prime is 10061646271. The next prime is 10061646337. The reversal of 10061646336 is 63364616001.

10061646336 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 646 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10061646336.

It is not an unprimeable number, because it can be changed into a prime (10061646337) 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 27 ways as a sum of consecutive naturals, for example, 2610811 + ... + 2614661.

Almost surely, 2^10061646336 is an apocalyptic number.

10061646336 is a gapful number since it is divisible by the number (16) 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 10061646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228285712).

10061646336 is an abundant number, since it is smaller than the sum of its proper divisors (24394925088).

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

10061646336 is an frugal number, since it uses more digits than its factorization.

10061646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10061646336 in words is "ten billion, sixty-one million, six hundred forty-six thousand, three hundred thirty-six".