10006005437736 has 768 divisors, whose sum is σ = 33740921088000. Its totient is φ = 2413073203200.

The previous prime is 10006005437723. The next prime is 10006005437773. The reversal of 10006005437736 is 63773450060001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13148495596 + ... + 13148496356.

It is an arithmetic number, because the mean of its divisors is an integer number (43933491000).

Almost surely, 2^{10006005437736} 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 10006005437736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870460544000).

10006005437736 is an abundant number, since it is smaller than the sum of its proper divisors (23734915650264).

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

10006005437736 is a wasteful number, since it uses less digits than its factorization.

10006005437736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

Adding to 10006005437736 its reverse (63773450060001), we get a palindrome (73779455497737).

The spelling of 10006005437736 in words is "ten trillion, six billion, five million, four hundred thirty-seven thousand, seven hundred thirty-six".