6678870000 has 400 divisors, whose sum is σ = 24200153472. Its totient is φ = 1572480000.

The previous prime is 6678869993. The next prime is 6678870007. The reversal of 6678870000 is 788766.

It is an interprime number because it is at equal distance from previous prime (6678869993) and next prime (6678870007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6678870007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12209727 + ... + 12210273.

Almost surely, 2^6678870000 is an apocalyptic number.

6678870000 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 6678870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100076736).

6678870000 is an abundant number, since it is smaller than the sum of its proper divisors (17521283472).

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

6678870000 is a wasteful number, since it uses less digits than its factorization.

6678870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6678870000 is about 81724.3537753588. The cubic root of 6678870000 is about 1883.2197354059.

It can be divided in two parts, 6678 and 870000, that added together give a palindrome (876678).

The spelling of 6678870000 in words is "six billion, six hundred seventy-eight million, eight hundred seventy thousand".