6948890624 has 144 divisors (see below), whose sum is σ = 15943915260. Its totient is φ = 3015966720.

The previous prime is 6948890609. The next prime is 6948890693. The reversal of 6948890624 is 4260988496.

It can be written as a sum of positive squares in 6 ways, for example, as 3500852224 + 3448038400 = 59168^2 + 58720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6948890624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5883314 + ... + 5884494.

Almost surely, 2^6948890624 is an apocalyptic number.

6948890624 is a gapful number since it is divisible by the number (64) 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 6948890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971957630).

6948890624 is an abundant number, since it is smaller than the sum of its proper divisors (8995024636).

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

6948890624 is a wasteful number, since it uses less digits than its factorization.

6948890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The square root of 6948890624 is about 83360.0061420343. The cubic root of 6948890624 is about 1908.2641524616.

The spelling of 6948890624 in words is "six billion, nine hundred forty-eight million, eight hundred ninety thousand, six hundred twenty-four".