867683964672 has 1728 divisors, whose sum is σ = 3428425728000. Its totient is φ = 212840939520.

The previous prime is 867683964599. The next prime is 867683964683. The reversal of 867683964672 is 276469386768.

867683964672 is a `hidden beast` number, since 8 + 6 + 76 + 8 + 3 + 96 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 867683964672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4360220829 + ... + 4360221027.

Almost surely, 2^867683964672 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 867683964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864000).

867683964672 is an abundant number, since it is smaller than the sum of its proper divisors (2560741763328).

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

867683964672 is a wasteful number, since it uses less digits than its factorization.

867683964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 867683964672 in words is "eight hundred sixty-seven billion, six hundred eighty-three million, nine hundred sixty-four thousand, six hundred seventy-two".