6871956000 has 1152 divisors, whose sum is σ = 30116136960. Its totient is φ = 1354752000.

The previous prime is 6871955999. The next prime is 6871956001. The reversal of 6871956000 is 6591786.

It is an interprime number because it is at equal distance from previous prime (6871955999) and next prime (6871956001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6871956001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 221675985 + ... + 221676015.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^6871956000 is an apocalyptic number.

6871956000 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 6871956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

6871956000 is an abundant number, since it is smaller than the sum of its proper divisors (23244180960).

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

6871956000 is a wasteful number, since it uses less digits than its factorization.

6871956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 6871956000 is about 82897.2617159337. The cubic root of 6871956000 is about 1901.1955541088.

The spelling of 6871956000 in words is "six billion, eight hundred seventy-one million, nine hundred fifty-six thousand".