6711442920 has 960 divisors, whose sum is σ = 29845221120. Its totient is φ = 1319804928.

The previous prime is 6711442883. The next prime is 6711442961. The reversal of 6711442920 is 292441176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65159589 + ... + 65159691.

It is an arithmetic number, because the mean of its divisors is an integer number (31088772).

Almost surely, 2^6711442920 is an apocalyptic number.

6711442920 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 6711442920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922610560).

6711442920 is an abundant number, since it is smaller than the sum of its proper divisors (23133778200).

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

6711442920 is a wasteful number, since it uses less digits than its factorization.

6711442920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6711442920 is about 81923.3966580976. The cubic root of 6711442920 is about 1886.2762660912.

The spelling of 6711442920 in words is "six billion, seven hundred eleven million, four hundred forty-two thousand, nine hundred twenty".