6867060480 has 864 divisors, whose sum is σ = 29141618688. Its totient is φ = 1459814400.

The previous prime is 6867060469. The next prime is 6867060517. The reversal of 6867060480 is 840607686.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102493407 + ... + 102493473.

Almost surely, 2^6867060480 is an apocalyptic number.

6867060480 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 6867060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570809344).

6867060480 is an abundant number, since it is smaller than the sum of its proper divisors (22274558208).

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

6867060480 is a wasteful number, since it uses less digits than its factorization.

6867060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6867060480 is about 82867.7288212969. The cubic root of 6867060480 is about 1900.7439819562.

The spelling of 6867060480 in words is "six billion, eight hundred sixty-seven million, sixty thousand, four hundred eighty".