6948908100 has 216 divisors, whose sum is σ = 23244949728. Its totient is φ = 1730227200.

The previous prime is 6948908093. The next prime is 6948908111. The reversal of 6948908100 is 18098496.

6948908100 is a `hidden beast` number, since 69 + 489 + 0 + 8 + 100 = 666.

It is a super-2 number, since 2×6948908100² = 96574647564491220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2002567 + ... + 2006033.

It is an arithmetic number, because the mean of its divisors is an integer number (107615508).

Almost surely, 2^6948908100 is an apocalyptic number.

6948908100 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 6948908100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622474864).

6948908100 is an abundant number, since it is smaller than the sum of its proper divisors (16296041628).

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

6948908100 is a wasteful number, since it uses less digits than its factorization.

6948908100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6948908100 is about 83360.1109644175. The cubic root of 6948908100 is about 1908.2657521796.

The spelling of 6948908100 in words is "six billion, nine hundred forty-eight million, nine hundred eight thousand, one hundred".