807645814360 has 512 divisors, whose sum is σ = 2468413440000. Its totient is φ = 235066406400.

The previous prime is 807645814331. The next prime is 807645814403. The reversal of 807645814360 is 63418546708.

It is a super-2 number, since 2×807645814360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 807645814298 and 807645814307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203589097 + ... + 203593063.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120000).

Almost surely, 2^807645814360 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 807645814360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234206720000).

807645814360 is an abundant number, since it is smaller than the sum of its proper divisors (1660767625640).

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

807645814360 is a wasteful number, since it uses less digits than its factorization.

807645814360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 807645814360 in words is "eight hundred seven billion, six hundred forty-five million, eight hundred fourteen thousand, three hundred sixty".