867796095673728 has 512 divisors, whose sum is σ = 2893869847142400. Its totient is φ = 254164718592000.

The previous prime is 867796095673699. The next prime is 867796095673757. The reversal of 867796095673728 is 827376590697768.

It is a happy number.

867796095673728 is a `hidden beast` number, since 8 + 6 + 7 + 7 + 9 + 6 + 0 + 9 + 567 + 37 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (867796095673699) and next prime (867796095673757).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79851693 + ... + 90066003.

It is an arithmetic number, because the mean of its divisors is an integer number (5652089545200).

Almost surely, 2^{867796095673728} 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 867796095673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446934923571200).

867796095673728 is an abundant number, since it is smaller than the sum of its proper divisors (2026073751468672).

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

867796095673728 is a wasteful number, since it uses less digits than its factorization.

867796095673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214439 (or 10214421 counting only the distinct ones).

The product of its (nonzero) digits is 80655160320, while the sum is 90.

The spelling of 867796095673728 in words is "eight hundred sixty-seven trillion, seven hundred ninety-six billion, ninety-five million, six hundred seventy-three thousand, seven hundred twenty-eight".