867120021768 has 512 divisors, whose sum is σ = 3165172899840. Its totient is φ = 190379704320.

The previous prime is 867120021727. The next prime is 867120021811.

867120021768 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15082405 + ... + 15139787.

It is an arithmetic number, because the mean of its divisors is an integer number (6181978320).

Almost surely, 2^867120021768 is an apocalyptic number.

867120021768 is a gapful number since it is divisible by the number (88) 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 867120021768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582586449920).

867120021768 is an abundant number, since it is smaller than the sum of its proper divisors (2298052878072).

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

867120021768 is a wasteful number, since it uses less digits than its factorization.

867120021768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57477 (or 57473 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

It can be divided in two parts, 8671200 and 21768, that added together give a palindrome (8692968).

The spelling of 867120021768 in words is "eight hundred sixty-seven billion, one hundred twenty million, twenty-one thousand, seven hundred sixty-eight".