861767343360 has 2592 divisors, whose sum is σ = 4044501586944. Its totient is φ = 168608563200.

The previous prime is 861767343313. The next prime is 861767343379. The reversal of 861767343360 is 63343767168.

861767343360 is a `hidden beast` number, since 8 + 6 + 176 + 73 + 43 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 861767343297 and 861767343306.

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, 23291009262 + ... + 23291009298.

Almost surely, 2^861767343360 is an apocalyptic number.

861767343360 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 861767343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022250793472).

861767343360 is an abundant number, since it is smaller than the sum of its proper divisors (3182734243584).

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

861767343360 is a wasteful number, since it uses less digits than its factorization.

861767343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 861767343360 in words is "eight hundred sixty-one billion, seven hundred sixty-seven million, three hundred forty-three thousand, three hundred sixty".