6946335648 has 216 divisors, whose sum is σ = 23074659972. Its totient is φ = 1976389632.

The previous prime is 6946335631. The next prime is 6946335667. The reversal of 6946335648 is 8465336496.

6946335648 is a `hidden beast` number, since 6 + 9 + 46 + 33 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6735156624 + 211179024 = 82068^2 + 14532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6946335594 and 6946335603.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3908136 + ... + 3909912.

Almost surely, 2^6946335648 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 6946335648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537329986).

6946335648 is an abundant number, since it is smaller than the sum of its proper divisors (16128324324).

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

6946335648 is a wasteful number, since it uses less digits than its factorization.

6946335648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2066 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 6946335648 is about 83344.6797822153. The cubic root of 6946335648 is about 1908.0302462144.

It can be divided in two parts, 69463 and 35648, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 6946335648 in words is "six billion, nine hundred forty-six million, three hundred thirty-five thousand, six hundred forty-eight".