967967000280 has 640 divisors, whose sum is σ = 3818666839680. Its totient is φ = 215349166080.

The previous prime is 967967000261. The next prime is 967967000293. The reversal of 967967000280 is 82000769769.

967967000280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×967967000280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134193954 + ... + 134201166.

It is an arithmetic number, because the mean of its divisors is an integer number (5966666937).

Almost surely, 2^967967000280 is an apocalyptic number.

967967000280 is a gapful number since it is divisible by the number (90) 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 967967000280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909333419840).

967967000280 is an abundant number, since it is smaller than the sum of its proper divisors (2850699839400).

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

967967000280 is a wasteful number, since it uses less digits than its factorization.

967967000280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 967967000280 in words is "nine hundred sixty-seven billion, nine hundred sixty-seven million, two hundred eighty", and thus it is an aban number.