6948925100 has 324 divisors, whose sum is σ = 18518986584. Its totient is φ = 2253588480.

The previous prime is 6948925099. The next prime is 6948925121. The reversal of 6948925100 is 15298496.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 103715267 + ... + 103715333.

It is an arithmetic number, because the mean of its divisors is an integer number (57157366).

Almost surely, 2^6948925100 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 6948925100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259493292).

6948925100 is an abundant number, since it is smaller than the sum of its proper divisors (11570061484).

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

6948925100 is a wasteful number, since it uses less digits than its factorization.

6948925100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 6948925100 is about 83360.2129315899. The cubic root of 6948925100 is about 1908.2673083229.

The spelling of 6948925100 in words is "six billion, nine hundred forty-eight million, nine hundred twenty-five thousand, one hundred".