368885673000 has 384 divisors, whose sum is σ = 1346112986400. Its totient is φ = 90574848000.

The previous prime is 368885672993. The next prime is 368885673011. The reversal of 368885673000 is 376588863.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 176889218724 + 191996454276 = 420582^2 + 438174^2 .

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, 49253256 + ... + 49260744.

Almost surely, 2^368885673000 is an apocalyptic number.

368885673000 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 368885673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673056493200).

368885673000 is an abundant number, since it is smaller than the sum of its proper divisors (977227313400).

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

368885673000 is a wasteful number, since it uses less digits than its factorization.

368885673000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 368885673000 in words is "three hundred sixty-eight billion, eight hundred eighty-five million, six hundred seventy-three thousand".