6948745056 has 480 divisors, whose sum is σ = 23886213120. Its totient is φ = 1959552000.

The previous prime is 6948745049. The next prime is 6948745057. The reversal of 6948745056 is 6505478496.

6948745056 is a `hidden beast` number, since 69 + 4 + 8 + 74 + 505 + 6 = 666.

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 = 6948744993 and 6948745011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948745057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54714465 + ... + 54714591.

It is an arithmetic number, because the mean of its divisors is an integer number (49762944).

Almost surely, 2^6948745056 is an apocalyptic number.

6948745056 is a gapful number since it is divisible by the number (66) 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 6948745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943106560).

6948745056 is an abundant number, since it is smaller than the sum of its proper divisors (16937468064).

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

6948745056 is a wasteful number, since it uses less digits than its factorization.

6948745056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6948745056 is about 83359.1330089271. The cubic root of 6948745056 is about 1908.2508273545.

The spelling of 6948745056 in words is "six billion, nine hundred forty-eight million, seven hundred forty-five thousand, fifty-six".