10000084462368 has 768 divisors, whose sum is σ = 36186769833984. Its totient is φ = 2333939650560.

The previous prime is 10000084462367. The next prime is 10000084462439. The reversal of 10000084462368 is 86326448000001.

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

It is not an unprimeable number, because it can be changed into a prime (10000084462363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1268559355 + ... + 1268567237.

It is an arithmetic number, because the mean of its divisors is an integer number (47118189888).

Almost surely, 2^{10000084462368} 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 10000084462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093384916992).

10000084462368 is an abundant number, since it is smaller than the sum of its proper divisors (26186685371616).

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

10000084462368 is a wasteful number, since it uses less digits than its factorization.

10000084462368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 10000084462368 in words is "ten trillion, eighty-four million, four hundred sixty-two thousand, three hundred sixty-eight".