10034681776 has 200 divisors, whose sum is σ = 24332130144. Its totient is φ = 3998776320.

The previous prime is 10034681773. The next prime is 10034681777. The reversal of 10034681776 is 67718643001.

It is not an unprimeable number, because it can be changed into a prime (10034681773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36226150 + ... + 36226426.

Almost surely, 2^10034681776 is an apocalyptic number.

10034681776 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 10034681776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166065072).

10034681776 is an abundant number, since it is smaller than the sum of its proper divisors (14297448368).

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

10034681776 is an equidigital number, since it uses as much as digits as its factorization.

10034681776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 10034681776 in words is "ten billion, thirty-four million, six hundred eighty-one thousand, seven hundred seventy-six".