67990010000100 has 288 divisors, whose sum is σ = 198066882908160. Its totient is φ = 18006887247360.

The previous prime is 67990010000093. The next prime is 67990010000177. The reversal of 67990010000100 is 100001009976.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47248095181 + ... + 47248096619.

It is an arithmetic number, because the mean of its divisors is an integer number (687732232320).

Almost surely, 2^{67990010000100} is an apocalyptic number.

67990010000100 is a gapful number since it is divisible by the number (60) 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 67990010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99033441454080).

67990010000100 is an abundant number, since it is smaller than the sum of its proper divisors (130076872908060).

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

67990010000100 is a wasteful number, since it uses less digits than its factorization.

67990010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The spelling of 67990010000100 in words is "sixty-seven trillion, nine hundred ninety billion, ten million, one hundred", and thus it is an aban number.