6845130240 has 640 divisors, whose sum is σ = 25862094720. Its totient is φ = 1528823808.

The previous prime is 6845130221. The next prime is 6845130251. The reversal of 6845130240 is 420315486.

It is a tau number, because it is divible by the number of its divisors (640).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62799306 + ... + 62799414.

It is an arithmetic number, because the mean of its divisors is an integer number (40409523).

Almost surely, 2^6845130240 is an apocalyptic number.

6845130240 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 6845130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931047360).

6845130240 is an abundant number, since it is smaller than the sum of its proper divisors (19016964480).

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

6845130240 is a wasteful number, since it uses less digits than its factorization.

6845130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6845130240 is about 82735.3022596763. The cubic root of 6845130240 is about 1898.7184562035.

The spelling of 6845130240 in words is "six billion, eight hundred forty-five million, one hundred thirty thousand, two hundred forty".