6852765819240 has 384 divisors, whose sum is σ = 26087703333120. Its totient is φ = 1541531443200.

The previous prime is 6852765819233. The next prime is 6852765819247. The reversal of 6852765819240 is 429185672586.

6852765819240 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 7 + 6 + 581 + 9 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6852765819233) and next prime (6852765819247).

It is not an unprimeable number, because it can be changed into a prime (6852765819247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062862 + ... + 5496578.

It is an arithmetic number, because the mean of its divisors is an integer number (67936727430).

Almost surely, 2^{6852765819240} is an apocalyptic number.

6852765819240 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 6852765819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043851666560).

6852765819240 is an abundant number, since it is smaller than the sum of its proper divisors (19234937513880).

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

6852765819240 is a wasteful number, since it uses less digits than its factorization.

6852765819240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433833 (or 1433826 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6852765819240 in words is "six trillion, eight hundred fifty-two billion, seven hundred sixty-five million, eight hundred nineteen thousand, two hundred forty".