368967000960 has 1536 divisors, whose sum is σ = 1491654528000. Its totient is φ = 86712975360.

The previous prime is 368967000949. The next prime is 368967000971. The reversal of 368967000960 is 69000769863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (368967000949) and next prime (368967000971).

It is a super-2 number, since 2×368967000960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 368967000897 and 368967000906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4145696596 + ... + 4145696684.

It is an arithmetic number, because the mean of its divisors is an integer number (971129250).

Almost surely, 2^368967000960 is an apocalyptic number.

368967000960 is a gapful number since it is divisible by the number (30) 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 368967000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745827264000).

368967000960 is an abundant number, since it is smaller than the sum of its proper divisors (1122687527040).

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

368967000960 is a wasteful number, since it uses less digits than its factorization.

368967000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 368967000960 in words is "three hundred sixty-eight billion, nine hundred sixty-seven million, nine hundred sixty", and thus it is an aban number.