867363590016 has 1024 divisors, whose sum is σ = 3557551104000. Its totient is φ = 200857190400.

The previous prime is 867363589987. The next prime is 867363590081. The reversal of 867363590016 is 610095363768.

867363590016 is a `hidden beast` number, since 8 + 6 + 7 + 36 + 3 + 590 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85949131 + ... + 85959221.

It is an arithmetic number, because the mean of its divisors is an integer number (3474171000).

Almost surely, 2^867363590016 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 867363590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778775552000).

867363590016 is an abundant number, since it is smaller than the sum of its proper divisors (2690187513984).

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

867363590016 is a wasteful number, since it uses less digits than its factorization.

867363590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 867363590016 in words is "eight hundred sixty-seven billion, three hundred sixty-three million, five hundred ninety thousand, sixteen".