6985169100 has 864 divisors, whose sum is σ = 29686849920. Its totient is φ = 1331527680.

The previous prime is 6985169041. The next prime is 6985169173. The reversal of 6985169100 is 19615896.

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 287 ways as a sum of consecutive naturals, for example, 40376614 + ... + 40376786.

It is an arithmetic number, because the mean of its divisors is an integer number (34359780).

Almost surely, 2^6985169100 is an apocalyptic number.

6985169100 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 6985169100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843424960).

6985169100 is an abundant number, since it is smaller than the sum of its proper divisors (22701680820).

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

6985169100 is a wasteful number, since it uses less digits than its factorization.

6985169100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 6985169100 is about 83577.3240777665. The cubic root of 6985169100 is about 1911.5792517780.

The spelling of 6985169100 in words is "six billion, nine hundred eighty-five million, one hundred sixty-nine thousand, one hundred".