852772742640 has 1080 divisors, whose sum is σ = 3634412079168. Its totient is φ = 178583408640.

The previous prime is 852772742539. The next prime is 852772742659. The reversal of 852772742640 is 46247277258.

852772742640 is a `hidden beast` number, since 8 + 527 + 7 + 2 + 74 + 2 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 936083785 + ... + 936084695.

Almost surely, 2^852772742640 is an apocalyptic number.

852772742640 is a gapful number since it is divisible by the number (80) 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 852772742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817206039584).

852772742640 is an abundant number, since it is smaller than the sum of its proper divisors (2781639336528).

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

852772742640 is a wasteful number, since it uses less digits than its factorization.

852772742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 852772742640 in words is "eight hundred fifty-two billion, seven hundred seventy-two million, seven hundred forty-two thousand, six hundred forty".