6867417600 has 480 divisors, whose sum is σ = 26060474880. Its totient is φ = 1769472000.

The previous prime is 6867417577. The next prime is 6867417619. The reversal of 6867417600 is 67147686.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6867417600² = 94322848985579520000, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 10713280 + ... + 10713920.

It is an arithmetic number, because the mean of its divisors is an integer number (54292656).

Almost surely, 2^6867417600 is an apocalyptic number.

6867417600 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 6867417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030237440).

6867417600 is an abundant number, since it is smaller than the sum of its proper divisors (19193057280).

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

6867417600 is a wasteful number, since it uses less digits than its factorization.

6867417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6867417600 is about 82869.8835524704. The cubic root of 6867417600 is about 1900.7769306454.

The spelling of 6867417600 in words is "six billion, eight hundred sixty-seven million, four hundred seventeen thousand, six hundred".