867036538368 has 960 divisors, whose sum is σ = 3507840483840. Its totient is φ = 207857664000.

The previous prime is 867036538337. The next prime is 867036538373. The reversal of 867036538368 is 863835630768.

867036538368 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 36 + 538 + 3 + 68 = 666.

867036538368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×867036538368² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 96860293 + ... + 96869243.

It is an arithmetic number, because the mean of its divisors is an integer number (3654000504).

Almost surely, 2^867036538368 is an apocalyptic number.

867036538368 is a gapful number since it is divisible by the number (88) 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 867036538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753920241920).

867036538368 is an abundant number, since it is smaller than the sum of its proper divisors (2640803945472).

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

867036538368 is a wasteful number, since it uses less digits than its factorization.

867036538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 867036538368 in words is "eight hundred sixty-seven billion, thirty-six million, five hundred thirty-eight thousand, three hundred sixty-eight".