867793858560 has 416 divisors, whose sum is σ = 3097031516160. Its totient is φ = 230517964800.

The previous prime is 867793858507. The next prime is 867793858567. The reversal of 867793858560 is 65858397768.

867793858560 is a `hidden beast` number, since 8 + 6 + 7 + 7 + 9 + 3 + 8 + 58 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867793858567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149849265 + ... + 149855055.

Almost surely, 2^867793858560 is an apocalyptic number.

867793858560 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 867793858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548515758080).

867793858560 is an abundant number, since it is smaller than the sum of its proper divisors (2229237657600).

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

867793858560 is a wasteful number, since it uses less digits than its factorization.

867793858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 867793858560 in words is "eight hundred sixty-seven billion, seven hundred ninety-three million, eight hundred fifty-eight thousand, five hundred sixty".