6852952719360 has 1176 divisors, whose sum is σ = 27066132795744. Its totient is φ = 1651129712640.

The previous prime is 6852952719343. The next prime is 6852952719401. The reversal of 6852952719360 is 639172592586.

6852952719360 is a `hidden beast` number, since 6 + 8 + 529 + 5 + 2 + 71 + 9 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42042654639 + ... + 42042654801.

It is an arithmetic number, because the mean of its divisors is an integer number (23015419044).

Almost surely, 2^{6852952719360} is an apocalyptic number.

6852952719360 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 6852952719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533066397872).

6852952719360 is an abundant number, since it is smaller than the sum of its proper divisors (20213180076384).

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

6852952719360 is an frugal number, since it uses more digits than its factorization.

6852952719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 6852952719360 in words is "six trillion, eight hundred fifty-two billion, nine hundred fifty-two million, seven hundred nineteen thousand, three hundred sixty".