6945291648 has 256 divisors, whose sum is σ = 21003840000. Its totient is φ = 2258896896.

The previous prime is 6945291643. The next prime is 6945291649. The reversal of 6945291648 is 8461925496.

6945291648 is a `hidden beast` number, since 69 + 4 + 529 + 16 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6945291594 and 6945291603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945291641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38800423 + ... + 38800601.

It is an arithmetic number, because the mean of its divisors is an integer number (82046250).

Almost surely, 2^6945291648 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 6945291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501920000).

6945291648 is an abundant number, since it is smaller than the sum of its proper divisors (14058548352).

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

6945291648 is a wasteful number, since it uses less digits than its factorization.

6945291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 6945291648 is about 83338.4163996413. The cubic root of 6945291648 is about 1907.9346522455.

The spelling of 6945291648 in words is "six billion, nine hundred forty-five million, two hundred ninety-one thousand, six hundred forty-eight".