6870726720 has 896 divisors, whose sum is σ = 29249095680. Its totient is φ = 1496309760.

The previous prime is 6870726701. The next prime is 6870726739. The reversal of 6870726720 is 276270786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6870726701) and next prime (6870726739).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82779799 + ... + 82779881.

It is an arithmetic number, because the mean of its divisors is an integer number (32644080).

Almost surely, 2^6870726720 is an apocalyptic number.

6870726720 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 6870726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624547840).

6870726720 is an abundant number, since it is smaller than the sum of its proper divisors (22378368960).

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

6870726720 is a wasteful number, since it uses less digits than its factorization.

6870726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

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

The square root of 6870726720 is about 82889.8469053961. The cubic root of 6870726720 is about 1901.0821831345.

The spelling of 6870726720 in words is "six billion, eight hundred seventy million, seven hundred twenty-six thousand, seven hundred twenty".