6948671040 has 336 divisors, whose sum is σ = 24972233520. Its totient is φ = 1771683840.

The previous prime is 6948671033. The next prime is 6948671047. The reversal of 6948671040 is 401768496.

6948671040 is a `hidden beast` number, since 69 + 486 + 7 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6948671033) and next prime (6948671047).

It can be written as a sum of positive squares in 8 ways, for example, as 179989056 + 6768681984 = 13416^2 + 82272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6948671047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499626 + ... + 6500694.

Almost surely, 2^6948671040 is an apocalyptic number.

6948671040 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 6948671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486116760).

6948671040 is an abundant number, since it is smaller than the sum of its proper divisors (18023562480).

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

6948671040 is a wasteful number, since it uses less digits than its factorization.

6948671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6948671040 is about 83358.6890491927. The cubic root of 6948671040 is about 1908.2440519538.

The spelling of 6948671040 in words is "six billion, nine hundred forty-eight million, six hundred seventy-one thousand, forty".