867989347680 has 576 divisors, whose sum is σ = 3473548904448. Its totient is φ = 180552314880.

The previous prime is 867989347661. The next prime is 867989347699. The reversal of 867989347680 is 86743989768.

It is an interprime number because it is at equal distance from previous prime (867989347661) and next prime (867989347699).

It is a congruent number.

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, 21688969 + ... + 21728951.

It is an arithmetic number, because the mean of its divisors is an integer number (6030466848).

Almost surely, 2^867989347680 is an apocalyptic number.

867989347680 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 867989347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736774452224).

867989347680 is an abundant number, since it is smaller than the sum of its proper divisors (2605559556768).

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

867989347680 is a wasteful number, since it uses less digits than its factorization.

867989347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40099 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 867989347680 in words is "eight hundred sixty-seven billion, nine hundred eighty-nine million, three hundred forty-seven thousand, six hundred eighty".