868379860480 has 640 divisors, whose sum is σ = 2434183488000. Its totient is φ = 294147194880.

The previous prime is 868379860433. The next prime is 868379860529. The reversal of 868379860480 is 84068973868.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3228177786 + ... + 3228178054.

It is an arithmetic number, because the mean of its divisors is an integer number (3803411700).

Almost surely, 2^868379860480 is an apocalyptic number.

868379860480 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 868379860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217091744000).

868379860480 is an abundant number, since it is smaller than the sum of its proper divisors (1565803627520).

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

868379860480 is a wasteful number, since it uses less digits than its factorization.

868379860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 868379860480 in words is "eight hundred sixty-eight billion, three hundred seventy-nine million, eight hundred sixty thousand, four hundred eighty".