849545262720 has 1536 divisors, whose sum is σ = 3858413045760. Its totient is φ = 173485670400.

The previous prime is 849545262661. The next prime is 849545262751. The reversal of 849545262720 is 27262545948.

849545262720 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 4 + 5 + 2 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 730476859 + ... + 730478021.

It is an arithmetic number, because the mean of its divisors is an integer number (2511987660).

Almost surely, 2^849545262720 is an apocalyptic number.

849545262720 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 849545262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929206522880).

849545262720 is an abundant number, since it is smaller than the sum of its proper divisors (3008867783040).

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

849545262720 is a wasteful number, since it uses less digits than its factorization.

849545262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 849545262720 in words is "eight hundred forty-nine billion, five hundred forty-five million, two hundred sixty-two thousand, seven hundred twenty".