10065632544 has 288 divisors, whose sum is σ = 34135395840. Its totient is φ = 2777702400.

The previous prime is 10065632543. The next prime is 10065632567. The reversal of 10065632544 is 44523656001.

10065632544 is a `hidden beast` number, since 10 + 0 + 6 + 5 + 632 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10065632499 and 10065632508.

It is not an unprimeable number, because it can be changed into a prime (10065632543) 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, 1666522 + ... + 1672550.

It is an arithmetic number, because the mean of its divisors is an integer number (118525680).

Almost surely, 2^10065632544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065632544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067697920).

10065632544 is an abundant number, since it is smaller than the sum of its proper divisors (24069763296).

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

10065632544 is a wasteful number, since it uses less digits than its factorization.

10065632544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10065632544 in words is "ten billion, sixty-five million, six hundred thirty-two thousand, five hundred forty-four".