867791652084 has 216 divisors, whose sum is σ = 2607734787840. Its totient is φ = 242504825472.

The previous prime is 867791652061. The next prime is 867791652109. The reversal of 867791652084 is 480256197768.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct 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 71 ways as a sum of consecutive naturals, for example, 185462857 + ... + 185467535.

It is an arithmetic number, because the mean of its divisors is an integer number (12072846240).

Almost surely, 2^867791652084 is an apocalyptic number.

867791652084 is a gapful number since it is divisible by the number (84) 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 867791652084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303867393920).

867791652084 is an abundant number, since it is smaller than the sum of its proper divisors (1739943135756).

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

867791652084 is a wasteful number, since it uses less digits than its factorization.

867791652084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 867791652084 in words is "eight hundred sixty-seven billion, seven hundred ninety-one million, six hundred fifty-two thousand, eighty-four".