10005236640 has 480 divisors, whose sum is σ = 41756964480. Its totient is φ = 2207471616.

The previous prime is 10005236617. The next prime is 10005236641. The reversal of 10005236640 is 4663250001.

10005236640 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 2 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (10005236641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2628979 + ... + 2632781.

It is an arithmetic number, because the mean of its divisors is an integer number (86993676).

Almost surely, 2^10005236640 is an apocalyptic number.

10005236640 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 10005236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878482240).

10005236640 is an abundant number, since it is smaller than the sum of its proper divisors (31751727840).

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

10005236640 is a wasteful number, since it uses less digits than its factorization.

10005236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10005236640 its reverse (4663250001), we get a palindrome (14668486641).

The spelling of 10005236640 in words is "ten billion, five million, two hundred thirty-six thousand, six hundred forty".