868965027840 has 1248 divisors, whose sum is σ = 3871651109760. Its totient is φ = 183267753984.

The previous prime is 868965027823. The next prime is 868965027851. The reversal of 868965027840 is 48720569868.

868965027840 is a `hidden beast` number, since 8 + 6 + 89 + 6 + 502 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352234287 + ... + 352236753.

Almost surely, 2^868965027840 is an apocalyptic number.

868965027840 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 868965027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935825554880).

868965027840 is an abundant number, since it is smaller than the sum of its proper divisors (3002686081920).

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

868965027840 is a wasteful number, since it uses less digits than its factorization.

868965027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 868965027840 in words is "eight hundred sixty-eight billion, nine hundred sixty-five million, twenty-seven thousand, eight hundred forty".