6870864000 has 1152 divisors, whose sum is σ = 30982573440. Its totient is φ = 1317888000.

The previous prime is 6870863971. The next prime is 6870864029. The reversal of 6870864000 is 4680786.

It is an interprime number because it is at equal distance from previous prime (6870863971) and next prime (6870864029).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6870864000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 528527994 + ... + 528528006.

It is an arithmetic number, because the mean of its divisors is an integer number (26894595).

Almost surely, 2^6870864000 is an apocalyptic number.

6870864000 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 6870864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491286720).

6870864000 is an abundant number, since it is smaller than the sum of its proper divisors (24111709440).

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

6870864000 is a wasteful number, since it uses less digits than its factorization.

6870864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6870864000 is about 82890.6749882036. The cubic root of 6870864000 is about 1901.0948445232.

The spelling of 6870864000 in words is "six billion, eight hundred seventy million, eight hundred sixty-four thousand".