368503130240 has 512 divisors, whose sum is σ = 1090012930560. Its totient is φ = 116266106880.

The previous prime is 368503130161. The next prime is 368503130311. The reversal of 368503130240 is 42031305863.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 368503130240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311398900 + ... + 1311399180.

It is an arithmetic number, because the mean of its divisors is an integer number (2128931505).

Almost surely, 2^368503130240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368503130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545006465280).

368503130240 is an abundant number, since it is smaller than the sum of its proper divisors (721509800320).

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

368503130240 is a wasteful number, since it uses less digits than its factorization.

368503130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 368503130240 in words is "three hundred sixty-eight billion, five hundred three million, one hundred thirty thousand, two hundred forty".