867237073461360 has 960 divisors, whose sum is σ = 3631577018194944. Its totient is φ = 188164021248000.

The previous prime is 867237073461287. The next prime is 867237073461383. The reversal of 867237073461360 is 63164370732768.

It is a happy number.

867237073461360 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 3 + 7 + 0 + 7 + 3 + 4 + 613 + 6 + 0 = 666.

867237073461360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×867237073461360² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 204332835 + ... + 208533885.

Almost surely, 2^{867237073461360} is an apocalyptic number.

867237073461360 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 867237073461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815788509097472).

867237073461360 is an abundant number, since it is smaller than the sum of its proper divisors (2764339944733584).

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

867237073461360 is a wasteful number, since it uses less digits than its factorization.

867237073461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201164 (or 4201146 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 867237073461360 in words is "eight hundred sixty-seven trillion, two hundred thirty-seven billion, seventy-three million, four hundred sixty-one thousand, three hundred sixty".