6869016000 has 1344 divisors, whose sum is σ = 32523379200. Its totient is φ = 1403136000.

The previous prime is 6869015999. The next prime is 6869016017. The reversal of 6869016000 is 6109686.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116423971 + ... + 116424029.

Almost surely, 2^6869016000 is an apocalyptic number.

6869016000 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 6869016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261689600).

6869016000 is an abundant number, since it is smaller than the sum of its proper divisors (25654363200).

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

6869016000 is a wasteful number, since it uses less digits than its factorization.

6869016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6869016000 is about 82879.5270256775. The cubic root of 6869016000 is about 1900.9243886050.

The spelling of 6869016000 in words is "six billion, eight hundred sixty-nine million, sixteen thousand".