6875601600 has 1008 divisors, whose sum is σ = 28954146816. Its totient is φ = 1419264000.

The previous prime is 6875601599. The next prime is 6875601617. The reversal of 6875601600 is 61065786.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167697580 + ... + 167697620.

It is an arithmetic number, because the mean of its divisors is an integer number (28724352).

Almost surely, 2^6875601600 is an apocalyptic number.

6875601600 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 6875601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477073408).

6875601600 is an abundant number, since it is smaller than the sum of its proper divisors (22078545216).

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

6875601600 is a wasteful number, since it uses less digits than its factorization.

6875601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6875601600 is about 82919.2474640237. The cubic root of 6875601600 is about 1901.5316919436.

The spelling of 6875601600 in words is "six billion, eight hundred seventy-five million, six hundred one thousand, six hundred".