6890166900 has 108 divisors (see below), whose sum is σ = 21619782912. Its totient is φ = 1835426880.

The previous prime is 6890166847. The next prime is 6890166911. The reversal of 6890166900 is 96610986.

It is a super-2 number, since 2×6890166900² = 94948799819711220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 974779 + ... + 981821.

Almost surely, 2^6890166900 is an apocalyptic number.

6890166900 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 6890166900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809891456).

6890166900 is an abundant number, since it is smaller than the sum of its proper divisors (14729616012).

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

6890166900 is a wasteful number, since it uses less digits than its factorization.

6890166900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 6890166900 is about 83007.0292204220. The cubic root of 6890166900 is about 1902.8734821741.

The spelling of 6890166900 in words is "six billion, eight hundred ninety million, one hundred sixty-six thousand, nine hundred".