849276737667072 has 4320 divisors, whose sum is σ = 3245691282462720. Its totient is φ = 210595479552000.

The previous prime is 849276737667067. The next prime is 849276737667097. The reversal of 849276737667072 is 270766737672948.

849276737667072 is a `hidden beast` number, since 8 + 49 + 2 + 76 + 7 + 376 + 6 + 70 + 72 = 666.

It is a super-2 number, since 2×849276737667072² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 849276737666982 and 849276737667000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13922569469922 + ... + 13922569469982.

It is an arithmetic number, because the mean of its divisors is an integer number (751317426496).

Almost surely, 2^{849276737667072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849276737667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622845641231360).

849276737667072 is an abundant number, since it is smaller than the sum of its proper divisors (2396414544795648).

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

849276737667072 is a wasteful number, since it uses less digits than its factorization.

849276737667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12546358272, while the sum is 81.

The spelling of 849276737667072 in words is "eight hundred forty-nine trillion, two hundred seventy-six billion, seven hundred thirty-seven million, six hundred sixty-seven thousand, seventy-two".