6711379584 has 256 divisors, whose sum is σ = 22105440000. Its totient is φ = 1756790784.

The previous prime is 6711379567. The next prime is 6711379687. The reversal of 6711379584 is 4859731176.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5206012 + ... + 5207300.

It is an arithmetic number, because the mean of its divisors is an integer number (86349375).

Almost surely, 2^6711379584 is an apocalyptic number.

6711379584 is a gapful number since it is divisible by the number (64) 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 6711379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052720000).

6711379584 is an abundant number, since it is smaller than the sum of its proper divisors (15394060416).

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

6711379584 is a wasteful number, since it uses less digits than its factorization.

6711379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 6711379584 is about 81923.0101009478. The cubic root of 6711379584 is about 1886.2703324655.

The spelling of 6711379584 in words is "six billion, seven hundred eleven million, three hundred seventy-nine thousand, five hundred eighty-four".