6948287712 has 288 divisors, whose sum is σ = 21249708480. Its totient is φ = 2149539840.

The previous prime is 6948287701. The next prime is 6948287737. The reversal of 6948287712 is 2177828496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35270398 + ... + 35270594.

It is an arithmetic number, because the mean of its divisors is an integer number (73783710).

Almost surely, 2^6948287712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6948287712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624854240).

6948287712 is an abundant number, since it is smaller than the sum of its proper divisors (14301420768).

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

6948287712 is a wasteful number, since it uses less digits than its factorization.

6948287712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 6948287712 is about 83356.3897490768. The cubic root of 6948287712 is about 1908.2089614632.

The spelling of 6948287712 in words is "six billion, nine hundred forty-eight million, two hundred eighty-seven thousand, seven hundred twelve".