6867174720 has 224 divisors, whose sum is σ = 24986382336. Its totient is φ = 1565337600.

The previous prime is 6867174719. The next prime is 6867174733. The reversal of 6867174720 is 274717686.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6867174720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2895135 + ... + 2897505.

Almost surely, 2^6867174720 is an apocalyptic number.

6867174720 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 6867174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12493191168).

6867174720 is an abundant number, since it is smaller than the sum of its proper divisors (18119207616).

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

6867174720 is a wasteful number, since it uses less digits than its factorization.

6867174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 6867174720 is about 82868.4181096755. The cubic root of 6867174720 is about 1900.7545221182.

The spelling of 6867174720 in words is "six billion, eight hundred sixty-seven million, one hundred seventy-four thousand, seven hundred twenty".