6747867000 has 384 divisors, whose sum is σ = 27038269440. Its totient is φ = 1541980800.

The previous prime is 6747866989. The next prime is 6747867013. The reversal of 6747867000 is 7687476.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699017 + ... + 1702983.

It is an arithmetic number, because the mean of its divisors is an integer number (70412160).

Almost surely, 2^6747867000 is an apocalyptic number.

6747867000 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 6747867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519134720).

6747867000 is an abundant number, since it is smaller than the sum of its proper divisors (20290402440).

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

6747867000 is a wasteful number, since it uses less digits than its factorization.

6747867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6747867000 is about 82145.4015754990. The cubic root of 6747867000 is about 1889.6824863443.

The spelling of 6747867000 in words is "six billion, seven hundred forty-seven million, eight hundred sixty-seven thousand".